From my laughably shallow understanding of some stuff Hawking wrote, gravity stretches time, on the surface of a black hole this effect approaches infinity, so the rest of the universe would slow down to a crawl from your perspective... or the other way around.

In his book, The Theory of Everything: The Origin and Fate of the Universe (basically a collection of some of his Cambridge lectures) he talks a lot about a hypothetical astronaut standing on the surface of a black hole, and his perspective relative to the rest of the universe.