No, Angel is horrible. As you can see, everyone around here hates it. You should give it back to your friend while you still have the chance and ask for season 1 of Charmed instead.
No, I'm TOTALLY kidding. Angel is excellent, but in my opinion, aside from its excellent fifth season which I think rivals any of Joss' other work, it's not quite on the same level that Buffy is. So as long as you don't go in with the absolute certainty that it is going to be just as good as, if not better than its parent show, I highly doubt you're going to be disappointed. Plus, if you do wind up liking it more than Buffy (and there are a lot people that do), you can be pleasantly surprised. 🙂
Also, I guess the Angel equivalent of Anya is Cordelia, but overall, the characters are very different than those on Buffy (not that they're not great, of course!).