Artist's rendition of a black hole | Image: Ute Kraus
A black hole in space is a location in which the pull of gravity is so forceful that even light can not get out. Matter compacted into a small space renders gravity's pull so strong. One circumstance in which this can occur is when a star is dying. Without light, black holes are invisible to the eye; scientists locate them with specially equipped telescopes.
The linked article lists some interesting facts about this phenomenon in space. For example,
7. Time Slows Down Around It
"If you’ve seen Interstellar, you’ll know what happens when you travel near a black hole; time slows down. What is incorrect about the film is that the time dilation would not be quite that extreme.
Time dilation is ultimately affected by gravity, the stronger the gravity, the stronger the time dilation. Also, time only slows down once you get near the black hole, once you pass the event horizon, time would stop."
Read nine more interesting bits of information about black holes in this article.
For an observer falling into a black hole, as for any other observer, their own time would appear the same as always. Nothing special happens to the observer at the event horizon. If you were in a small ship with no windows, and the black hole was large enough that there wouldn't be a large difference in pull from the front and back of the ship, you would have no way of knowing the exact moment you cross the event horizon when falling through.
If you did have a window, you wouldn't see all time pass either. This seems to be more blatant wrong than just unqualified. Assuming GR works within the event horizon, the observer would hit the center in a finite (and actually quite short) time, the whole time still seeing stuff in front and behind them, with some time dilation. The only way to get infinite blue shifting of the rest of the universe, so that you could watch all time pass by, would be to stop yourself from falling right at the event horizon, requiring infinite force to stop your fall (and this all assume that quantum mechanics doesn't do something weird right at the event horizon).
We might actually get to see some of this more directly confirmed or proven wrong in the next couple years, as the Event Horizon Telescope, a network of radio telescopes, might be able to resolve the event horizon of the black hole at the center of the Milky Way.
(Oops, this was meant as a reply to the article, not the particular comment.)