smalltowngirl,
A girl cannot learn any Torah Shel Baal Peh, which Gemora is a part. This is clear.
There was previously a LONG discussion about just this issue in the Coffee Room. If you search for it, you can find it. I think part of it was in the Rav Belsky thread. If you cannot locate it, perhaps I can link to it later.
(As an aside, at the end, even rabbiofberlin who was trying to defend girls learning Gemora, admitted that the strong consensus amongst all the Rishonim and Achronim were completely opposed to it.)