In fact, I would expect them to actively censor and promote their interests. Also, would other people just not be allowed to make search engines? Wouldn't google v2 just take over again?
In a very idealistic case, I would even go further and say it should be under the umbrella of the UN to accommodate other cultures, and be politics-agnostic.
I do believe that we are at the time when decent internet access should be pushed by the UN (or any other entity, hopefully in a non-commercial non-political way like food, shelter, and education.
Maybe I'm not seeing it right, but IMO Google seems less predatory than they could be... they aren't anywhere near Amazon level.