There's a major difference between a therapist and a client: the therapist has the "power", they know a lot of intimate things about you. Meanwhile you often know next to nothing.
So for people to google their therapist can be a way to "take back that power"
I see nothing wrong with this.
On the other hand, a therapist googling a client is a bit weird to me: what's their purpose? are they going to find out info you're not yet ready to divulge for instance? There's a question of trust in my opinion.
True, public information IS public but it's different when a therapist does this.

I can't imagine why your therapist would visit your portfolio that often. I'd be creeped out to be honest.