Whether Googling something counts as AI has more to do with the shifting definition of AI over time, then with Googling itself.

Remember, really back in the day the A* search algorithm was part of AI.

If you had asked anyone in the 1970s whether a box that given a query pinpoints the right document that answers that question (aka Google search in the early 2000s), they'd definitely would have called it AI.

Google gives you an AI summary, reading that means interacting with LLMs.