Google is not a search engine. It's an advertising service. Their whole business model revolves around a critical mass of eyeballs, which flock to free services. This will never happen for the average user.
Ostensibly yeah, the product being offered is a search engine. Realistically, the product being offered is a combination of your data, and your eyes/attention.
It's not just an advertising service. I can also get info from it as well. Like if I ask how many national parks are in Wyoming, or is it ok for me to brush my dog's fur if it's been 2 weeks since his surgery.. those 2 search results did not show me advertisements of camping tents, or a dog brush on Amazon, it gave me the info i wanted right off the bat. So you are wrong