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Markets are not necessarily based on money; they are about exchange. In the web search market, users exchange their attention for search results.

I don’t know whether this kind of market dominance factors into the legal determination of monopoly, but conceptually I think it makes sense to say that Google has a monopoly in the web search market.

> But market share of what? No one pays for web search so that's not really a market.

The customer in a web search isn't the USER. It's the BUISINESSES whose ads are placed on the search results page.

THEY are certainly paying for the web search.

If a business gets deindexed by Google or its search ranking drops, their income plummets. It's pretty obvious they are a monopoly and have monopolistic power.