Ok so Google is a monopoly in this sector that's pretty clear, but what's the real problem here? Their competitors offer inferior products so we don't really have a case. Until they can develop better technology or offer superior products than Google's and still are unable to gain market shares then that's when we will have a real case.

Besides, for any business to continue leading long-term in modern days it's inevitable it must seek to become a monopoly, or at least part of a duopoly.