Google certainly has a monopoly on search, which is why it is being investigated for its practices by the EU. If I am using the word incorrectly, then so is the EU, but since the term is defined by policy, that isn't possible.

If you think the word monopoly means that there is precisely zero competition, then you are not using the word as it is used by economists, governments, and the law.

Monopoly is defined by effective competition, barriers to entry and market power. Google qualifies.