Depends on your perspective, naturally, with spacetime being relative and all.

From an observers pov, say comrades who couldn't catch you in time, you would freeze for forever, until you the light bouncing off you slowly redshifted out of our visual range. Which sounds awful to experience, even just watching.

On the plus side, you would allow accurate mapping of where the horizon actually is, since it's invisible, the moment you 'froze' would be the moment when you crossed over.

From you're pov its speculated that at that distance you'd essentially be outside time. And past the horizon light only goes one way, and that's in towards the black hole, which you wouldn't be facing, so you'd see all of the light from all time descending towards you. Whether that's linear, and just like a VCR on fast forward, that I can't say, and I don't know if that will or would ever be verified.

So you'd get the answers of how it all ends (heat death, big crunch, cyclical, neuvo-physics bubble, great unraveling, grey goo, thetons, who knows) but you'd never be able to share the answers... Unless each black hole IS an Einstein-Rosen Bridge.

I like to think hidden behind each horizon is a great cosmic/galactic space-truck stop full of alien yokels. That's the flavor of multiverse I want to be in :)