What do I do about this?

I've just been through a breakup, and theirs this girl who comes along--a co-reporter at the paper. There's this kind of connection, but sometimes I can barely feel it. And we're both aloof toward each other, me having just gone through a breakup, and her having gone through the same thing. Is it right to be cynical/skeptical? I mean I can't help it. And just how cautious should I be? How long should I stay cautious around girls. In two weeks, my internship will be over. Should I tell her?