Yeah, google really doesn't have much competition that could really forget it up. I mean I switched search engines after I found out they were censoring search results, but most people don't give enough of a stuff about that.
Google has hands-down the most used search engine/indexing service but also collects, stores, and sells a tremendous amount of user data. This includes building a "profile" of you tied to your IP address, or if you're logged in, a Google account. This "profile" includes things you search for and attempts to guess what you like and don't like based on the links you visit and what you tend to look for.
It's some pretty creepy stuff, and Google is almost uncontested so far as market share in the search engine/indexing sector. "Google" has literally become synonymous with "search" and there isn't much any competitor could do to threaten them as Google is simply so big with such vast resources that they can basically do whatever they want on the side i.e. play ISP with Google Fiber, make their own streaming TV service, make a mobile OS
But for a company whose motto is "do no evil" they have a lot of business practices which are debatably unethical, such as censoring search results to hide information they disagree with, collecting the data of users and selling it, etc