Take a moment, and disregard your technological know-how (the fact that you think you know how it works), and consider Google strictly as a black-box.
Which functionalities of a strong AI have they not delivered (or are not well within the way to be delivering) so far?
Strong AI is artificial intelligence that matches or exceeds human intelligence — the intelligence of a machine that can successfully perform any intellectual task that a human being can
then there are lots of things that Google can't do that many human beings can. For example, when you do an image search, the results are sometimes laughable, and that's because Google doesn't understand image content and just reports results based on the tags on the image or based on surrounding text. Lots of human beings would have understood the search query well enough to not return the results Google returned in many cases. So, Strong AI it ain't
It's also bad at summarizing information. I can get a scattered set of results for lots of topics, but it can't synthesize those results into a nice executive-summary paragraph for me. Never mind even better summarization, like searching for a topic that has no Wikipedia article yet, and having Google's algorithms write the article for me to read!