I agree that if the therapist is doing it a lot, it is creepy and probably says a lot more about the therapist than the client.

I can understand clients wanting to google the therapist too, but I'm not sure it's always all that healthy to know too much about your therapist. I wish I didn't know that my therapist was religious because I have such anti-religion feelings right now. And I'm specifically not googling him anymore because I'm worried that I might find out he is a republican. And if he can do his job and accept my agnostic, feminist, liberal opinions in my sessions then does it really matter what his personal beliefs are?