I know this must be really difficult. I'm sorry you're struggling with it.

Just an observation: When other people here have googled things about their therapists while knowing their therapist may not want them to, they usually seem to emotionally end up worse off than before or even panicked or in crisis because then they're dealing with the guilt and anxiety over wanting to tell their therapist about their actions but being afraid to. It kind of seems to perpetuate a cycle of instability that either ends with a rupture in the relationship when the therapist reacts negatively, or the person confesses and has to go through talking that out with their therapist and maybe getting reassurance that they broke the boundary but their therapist isn't going to abandon them.

So before you do this, maybe just ask yourself first how you see this playing out for you and your therapist and what you want to get out of it? Is seeing a photo of this guy who isn't involved in your life and doesn't know you, worth whatever fallout you might have to deal with in terms of the relationship you have with your therapist? Is it possible you're repeating a pattern here of some sort?

If you're having trouble getting your mind off of the metaphorical elephant in the room, do you have some activities or hobbies you could try?

Regardless of what you decide, I hope it works out for you and that you get something positive from it!