I agree with Manatee. Google alerts is a pretty basic search tool. Your therapist is consciously entering public discussions using his own name, so it stands to reason that he is comfortable with this public disclosure.

That being said, maybe it's worth discussing or doing some soul-searching on why you have a google alert on your therapist. On one hand, it could be because you find his writing/commentary thought-provoking, and this is why you chose him as a therapist. On the other hand, it could be a sign of obsessive behavior towards your therapist, which (while common) may be worth unpacking in therapy if it doesn't disappear on its own.

Overall, just remember that anything is fair game to discuss in therapy. If this is something that is occupying your mind, talk about it! Good luck!