Might I also recommend the Tiergarten (a great park near the Brandenburg Gate), and the Berlin Zoo (located right next to "Zoo Station" which U2 named their song after).
And don't forget the Fernsehturm -- a huge East Berlin TV tower, Gedachtnachtskirche -- a bombed out church that stands as a memorial to the horrors of WW2, etc. etc.
Oh, and as for beer, an Augustiner is always tasty, or you could go for the Berliner Weiss -- they add syrup to beer. And no, that's not a shandy.