In general you will have more information about the object, if more photons arrive at you, the observer. The reason is simply that the world is not pixelated. So the optimal resolution, determined by the available information by photons would go down to the size of the emitting particles (i.e. atoms or molecules, washed out by different physical effects).
However you would not be able to percept that much information, as you are constrained by the resolution of your retina. As the Photoreceptors of your Retina will not send a signal which will be processed by your brain, you need several photons at each point. Thus you need a lot of photons to get a clear signal and surely there is then a correlation between available information and clarity of the observed object, until the threshold of of your receptor (your retina) is reached.
Again this goes up to the point where to many photons reach the receptor. Then you are blinded.