I don't think I would care much if my therapist googled me. I might even be a little flattered that she was interested enough to be honest. To me a quick google search to see something like where my last name originated is pretty different than something like trying to look for posts tagged on my friends' facebook pages. That would be too interested and a little creepy. But as far as posting an online journal such as a couple people have mentioned, I think that if a person is doing something like that under their own name, they should just consider that to be public knowledge. I'd be much more worried about an employer finding something like that than my therapist. But then again if I want to post personal stuff on the internet I do it anonymously.