My character is traveling aboard a spaceship through inter-galactic space (it has left the Milky Way). The ship is traveling at the speed of light or so and has been for the last six thousand years. When she looks outside through a window, what does she see?
A ship traveling at the speed of time suffers from time dilation to the point where it is standing still for the people in the ship. Thus no time passes, and therefore nothing is seen. (If that sounds impossible, it's because traveling at the speed of light is also impossible. But this answer is still true if you're traveling at an absurdly high fraction of c.) To the passenger, it appears as if the ship had teleported from one patch of space to the next.