"Monopoly" is a technical definition, not another way of saying "has a lot of money."

Google has been proved to be a monopoly precisely BECAUSE it gives away so much. By entrenching themselves with free products that outcompete just about anyone, they get access to a massive firehose of data that they then monetize with no competition in sight

Long story short: Giving away free stuff to cripple competition who don't have scale is anti-competitive (see: Microsoft IE case)