Reading this wiki page about the observable universe, (and visible universe), implies that we humans, on this rock in the milkyway are seeing a static representation of the universe that is still effectively in the past. They're also saying that the observable universe is about 93 billion light years to observe it, because of Hubble's law, (I think), which implies that other objects far away in the universe are moving away from us faster than the speed of light (SoL). Now if we're moving slower than SoL then it would infer that we would never, from Earth be able to see the entire universe. In fact our sun is expected to consume us long before this would even be conceivably possible.
So, if we are seeing all of the observable universe when it was 13.75 billions years old and there is actually more "universe" to observe beyond this static reference, will we actually see more of it ? Or are we doomed to observe the universe at a specific place in time ?