You mean iPhone apps that were written specifically by AT&T like for looking at your balance, etc.?
That's an interesting question, but I'm not sure why you would want to use them. I don't know.
But as far as apps generally, although I have not explicitly read this, I am going to jump out on a limb and say yes they will all work like they do on carriers across the world.
Kinda O/T: I do think Apple and Verizon could have put a little more info out though. It seems like a very non-fanfare announcement. I'd like to see the announcement made from Jobs with him giving it context. Like he would have some one liner about how they never thought they would have a CDMA iPhone and how it's the big question people have been asking for five years and we finally have an answer . . .
I mean I guess there wasn't a lot to announce except for it being on a new carrier, but I guess I was still hoping for some more hoopla.