You'll have to forgive me for not knowing the exact episode numbers, but Sasuke and Naruto fight several times in Naruto Shippuden for brief bits of time. Also know that this may contain SPOILERS.
First, Naruto and Sasuke begin to fight in the first episode (which is actually just a teaser for what happens in the second story arc) until Orochimaru arrives and stops Sasuke from progressing any further. Then, when the actual story arc that I just mentioned happens, you see that scene play out a little further. After that, Sasuke and Naruto don't really fight or see each other again for a long time. In the manga, however, there is a chapter where Naruto and Sasuke really begin to fight after Pain has destroyed the Leaf Village and Sasuke was trying to disrupt the Hokage Summit. However, at that point Madara came to prevent Sasuke from going any further. As of now, in chapter 517 of the manga, Naruto and Sasuke have not fought again since then, but it's told to us that they will fight relatively soon-ish, and it'll be EPIC!!
For now just continue to enjoy the story as it unfolds, because it's amazing right now.
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No, till now in manga in chapter 496 sasuke has got even more evil and plans to destroy naruto and leaf village.
Episode 115, Shippuden right after the intro
The first few episodes.
If you are talking about the movie "bonds", he plays a major roll half way through.
First I think you mean "Sasuke" and no he did not die in shippuden.