Incorrect.

Google spent ungodly amounts of money to make sure that their search engine was the default in as many places as possible. People didn't "choose" to use it, they use the defaults.

And in some cases, like my Android phone, google is the only option for integrated searches. I cannot use another search engine without opening a browser then opening up the search engine of choice.

Monopoly may not be the right term, but anticompetitive is. They outspent every other search provider to make sure their product was used. They paid off apple to not develop a search engine and instead use theirs as a default. These are things in the court documents which caused the ruling to go against them.