What does the "true" visible light spectrum look like? When I google "visible light spectrum", I get essentially the same image. However, in each of them the "width" of any given color is different.
What does the "true" visible light spectrum look like, then? It can't be that each and every image search result is correct.
I could not find any information about this on the web, so I turn to the experts.
 A: When you look at images on your computer, you’re seeing light emitted from the LEDs (most likely) in the pixels of your screen. Those pixels generate colors by combining the output of LEDs with only a few different center wavelengths. Want purple? Mix blue and red. Want a slightly different purple? Adjust the proportions of blue and red. Your eyes and brain interpret these combinations of colors as different single colors.
The point is: Your screen is not giving you pure colors of the rainbow. It simply cannot. It’s not designed to. It’s designed to generate colors with linear combinations of other colors. Any generation of a color in the visible spectrum will be an approximation. However, one benefit of this is that your screen can generate colors which do not exist in the rainbow, like pink.
So all the images of spectra you see are different approximations of the actual spectrum you’d see if you put white light through a prism. That’s why they don’t agree. It’s impossible to find exactly what you’re looking for coming from your computer screen.
A: Others already pointed out the effects of sensors and pigments (or emitters) that cannot perfectly mimic the response of the (standard) human eye.
So one would need to look at a real spectrum. The excellent answer by Jonathan Jeffrey is to point to a prism. But there one has the problem that the dispersion increases towards the ultraviolet, and that relative widths of colour bands would be slightly different for different materials of the prism.
Maybe more "true" would be to look through a diffraction grating. Cheapest solution is to use the reflection in a CD-disk (or the transmission when the metallic layer of a recording CD is removed).
A: Most computer monitors aren't capable of displaying any spectral color. Some of the RGB monitors could display at most three of them: some red wavelength, some green and some blue. This is because the gamut of the human vision is not triangular, instead it's curved and resembles a horseshoe:

In the image above, the black curve represents the spectral colors, with the wavelengths in nm denoted by green numbers. The colored triangle is the sRGB gamut, the standard gamut that most "usual" computer monitors are supposed to have.
As you can see, the black curve doesn't even touch the triangle, which means that sRGB monitors can't display any of the corresponding colors.

This doesn't mean that you can't see any good representation of the visible spectrum. You can e.g. display what the spectrum would look like if you took a gray card and projected the spectrum onto it, thus getting a desaturated version. CIE 1931 color space, via its color matching functions, lets one find, for each spectral color, corresponding color coordinates $XYZ$, which then can be converted to the coordinates in other color spaces like the above mentioned sRGB.
The inability of the sRGB monitors to display spectral colors manifests in the fact that, after you convert $XYZ$ coordinates to sRGB's $RGB$ ones, you'll get some negative components. Of course, negative amount of light is not something a display device can emit, so it needs some workaround to display these colors (or something close to them). Displaying the spectrum as projected on a gray card is one of these workarounds.
Here's how such a desaturated spectrum (with a scale) would look:

To get this (or any other, actually) image to display "correctly", ideally you need to calibrate your monitor. Some of the consumer devices have better color rendering out of the box, others have quite poor color rendering and show visibly wrong colors. If you don't calibrate, then just be aware of this nuance.
Also, if you happen to be a tetrachromat (virtually never happens in males, rare
in females), then the above image will look incorrect to you in any case.

How to see an actual spectrum, without the workarounds discussed above? For this you should use not a computer monitor. Instead you need a spectroscope. These can be found in online stores like AliExpress quite cheap, some using a diffraction grating, others a prism. The ones with grating will give you almost linear expansion in wavelengths, while the ones with a prism will have wider blue-violet part and thinner orange-red part of the spectrum.
A: 
However, in each of them the "width" of any given color is different.

That is because the images were recorded with different methods and materials.

What does the "true" visible light spectrum look like, then? It can't be that each and every image search result is correct.

"True" needs the measurement of the frequency on the x axis and the intensity on the y. It is the intensity that makes the difference you observe in the apparent  widths of the spectra. That intensity is a function of the lattice spaces of the atoms  of the spectrum analyzer used in taking the picture.
You are looking at the spectra with your eyes, and color perception, the color observed by our mind and defined as a given one, is a complicated effect. See the answers to this question.
The spectrums in addition to being recorded on different media, are perceived by you brain  too, and that depending amplitude of the different frequencies with the method the spectrum was recorded, will also introduce a width in you perception of the colors.
A: 
...the "width" of any given color is different

This is to be expected, since the unit of the horizontal axis might be different.
Two separate bands that are equally wide on a frequency (energy) scale will always have different width on a wavelength based chart.
A: When you look at a spectrum, you're using some kind of optical effect to spread out the different frequencies of light. Most commonly this is done by a triangular prism, where the difference between the speed of light in air and the speed of light in the prism material ('refractive index') causes different frequencies of light to bend by different amounts. Generally, lower-frequency red bends least and higher-frequency violet bends most, with the other colors spreading to varying amounts between the two.
Depending on the refractive index difference, the amount of bending changes. One kind of prism (say, clear plastic) might be rather weak so that the difference in angle between red and blue are very small, producing a very narrow rainbow, while another prism can use a better material (such as a diamond) and spread red and blue onto very different angles, giving you a wide rainbow. Both of those are real and valid spectra. Neither is more "correct" or "real" than the other; it's just different materials spreading out the light to different amount.
And then of course the actual size of the spectrum produced depends on how far the target wall is from the prism.  A prism that produces a very wide spectrum with a wall that's only two inches away will have a narrower resulting image than a less powerful prism projecting on a wall ten feet away.
This question seems bit like looking at an 18" television and a 50" television and asking "But which one is showing the real TV signal?" The question doesn't really make sense.
A: If you're really curious, buy a cheap prism, and take it outside in sunlight.
You'll be dispersing the frequencies present in sunlight, and in addition, your eyes are more or less sensitive depending on the frequency, but that's a good start for being able to see what a "real spectrum" of visible light is.
A monitor does not produce all frequencies of light, but rather tricks human perception by sending different proportions of red, green, and blue light. A color-calibrated, wide-gamut display can reproduce the effect of broad spectrum light, but it won't be the real thing.
A: Look at a piano keyboard.  The space that each octave takes up (a C key to the next C key) is the same.  This is actually logarithmic spacing.  If you spaced the keys linearly according to their frequency, the keys would be spaced much further apart in the higher octaves.  Each C note actually has twice the cycles per second as the previous C note.  So some of the images use a linear scale and some use a logarithmic scale.  All the images that show colors as rectangular blocks are actually artist's conception as the frequency of the color varies continuously.  So these images are really only suggestions to help in understanding the concepts.
Light comes to the eye as photons.  Every photon has a specific frequency.  Your eye contains multiple types of cells which each respond differently based on their frequencies.  A given object will send photons at various frequencies, often represented as a graph with wavelength as the x-axis and intensity on the y-axis.  (See https://en.wikipedia.org/wiki/Spectrophotometry)  When the combination of frequencies hits the cells in the eye, it is converted to an intensity for each of the types of cells.  (red, green blue, and one covering the whole visible spectrum.)  Multiple combinations of frequencies can yield the same four values for the nerve cells in the eye.  Each combination of the four values is associated with a "color" by the brain.  Therefore, multiple combinations of frequencies can appear to be the same to a person.
So

*

*Visible light spectrum is simply the range of electromagnetic frequencies that can be detected by the eye.  The illustrations are mostly artist's conceptions to help understand the concept.

*You can take a beam of light and use a spectrum to split it according to frequencies.  Each dot on the image generated by the prism will be composed of photons at a single frequency.

*Human eyes, photographic film, and electronic cameras have receptors
of multiple types with each type having a sensitivity that varies
with the frequency of the photons.  The values from each of the types
of sensors is sent to the brain, where it is converted to a "color".

*If you take an image of the spectrum produced by splitting light
through a prism, and then examine the image on a monitor, the color
of each point will appear as a combination of red, green, and blue.

*However, if the frequency sensitivity distribution of the types of
cells in the human eye match the distribution for the types of pixels
in the camera and everything is perfectly aligned, the color that the
human brain obtains by using the prism and viewing the electronic
image should be the same.

*If the frequency response of the types of cells in the eye did not
match the frequency response of the pixels in the camera, the colors would appear to be wrong.  Butterfly
eyes have different response curves, so a computer display's image
would look wrong to them.

