Yes, Google owns a significant portion of search but I don't think it qualifies as a monopoly.
* They have no exclusive rights to "search". Bing, DDG, Yahoo, and more all compete in the same space.
* They do not have a geographic right to any areas.
* They are not prevent me from using another search engine
I choose to use Google because it gives me the results I expect. Nobody is forcing me to use Google over other search engines. If anything, Google has raised the quality for all search engines by consistently producing the best product available.
* They have no exclusive rights to "search". Bing, DDG, Yahoo, and more all compete in the same space.
* They do not have a geographic right to any areas.
* They are not prevent me from using another search engine
I choose to use Google because it gives me the results I expect. Nobody is forcing me to use Google over other search engines. If anything, Google has raised the quality for all search engines by consistently producing the best product available.