I don’t think therapists should google clients. They do—someone linked to a study on here once that said something like 90% of newly-licensed therapists do it.

In the instance in which yours googled you she could have just asked you for the same information.

And if the client has information online that the therapist doesn’t know—like stories of past abuse—the therapist shouldn’t know them until the client is ready to tell them. Knowing them beforehand could create all kinds of problems in the therapy.