Not if the "charge for search" is actually paid by the website. Google is indirectly charging the users Google -> search results (for free) -> website (owner p

Not if the "charge for search" is actually paid by the website. Google is indirectly charging the users Google -> search results (for free) -> website (owner paid for seo/adwords and charge the customer) Similar thing happened with google maps while they were never a monopoly by your definition because other solutions exist.