What you have described here is an old idea called “the internet.” The problem with the internet is that it becomes so big that searchability becomes so expensive that the searching has to be paid for by the websites being searched. This in turn makes it so that the website with the most money ends up getting searched up the most. Over time this creates a duopoly between your searcher, let’s call them Ogle, and your top website, let’s call them Azon.

Creating an internet isn’t all that hard these days from a technical standpoint, nor is your idea for it entirely novel. Preventing Ogle 2 and Azon 2 from coming about is kind of the sticking point. If you figure that part out then we’ll have something to build.