[m463]

that's an interesting question.

If you traveled one light year at the speed of light, when you looked back you would see light from right after you left. But since you were traveling at the speed of light, your relativistic time for the journey would be zero.

So the light you observed would be proportional to your subjective time.

[Calamity]

So, by the same token, do you observe the galaxy you're approaching age quickly? On "fast-forward" if one could imagine that?