It's an irresistible impulse, but resist it anyway. It won't make you feel closer or calm those feelings of wanting to be close; it will only fan those flames. You won't learn enough to "really" know her. And you risk making yourself feel creepy, regardless of your innocuous intentions. I've done my share of googling and Facebook "creeping," and while it gave me a temporary charge and illusion of getting closer, in the end I wasn't any more a part of her outside life and I felt sort of gross for doing it. It's not worth it.

And yes, it's a public forum and no one can stop you, but let your wise mind prevail and step away.