I don't think so. Remove Google from the story and search is still a problem involving massive amounts of storage, massive amounts of fast compute, and a clever way to index results.

The only part of that story Google impacts is that their clever way to index results is by mining traffic on their site and the larger web to decide based on user behavior whether their search query was satisfied. Since users can't spend active time on two sites at once, Google consumes a finite resource there. But do we believe Google's behavior tracking really is the final, best form that indexing can possibly take?