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.
Just googling means you use AI nowdays.