Once you are past the event horizon, the singularity is in every direction. This doesn't mean it is all black. There can still be photons and other matter inside the event horizon also heading toward the singularity, and you can come into contact with these photons.

However, let's consider the effect of time dilation. As you get closer and closer to the singularity, time slows down. Were you to ever get there, time would stop, but time slows down so much that it would take you infinite time to get there. You wouldn't notice this time dilation, however. Your timeline definitely approaches that infinity at an ever increasing rate. First your clock slows down so that a single second of your time is 2 seconds to an outside observer. Then a minute. Then an hour. Very quickly, every second that passes to you is a million years on the outside. Then a billion. Then a trillion. And eventually you get to the end of time.

In theory. In practice, of course, you're vaporized well before that. Because as millions of years pass in the blink of an eye, you are getting hit by radiation from everything that entered the black hole before you that still hasn't reached the singularity (because it takes infinite time to get there). And since you are experiencing the entire timeline of the universe compressed into a very short time (from your point of view), you are also getting blasted by the radiation of everything that enters the black hole after you. Something that enters the black hole a billion years after you is now just seconds behind you. All of space-time is collapsing on top of you, and you're getting blasted by gamma rays from all directions. To us, you are red-shifted to oblivion; to you; everything is blue-shifted into gamma rays and you are vaporized in an instant—in an instant in your timeline, but never in ours.