The "Fairness Doctrine" that you're referring to is something that liberals want to make law, which would legally force companies (mainly talk radio) into providing equal air time for both liberal and conservative hosts. The problem with this is not only a censorship issue but also an economic one. There's a reason why liberal talk radio isn't popular: nobody listens. When nobody listens, advertisers don't want to advertise on a network that nobody listens to. Forcing a liberal host onto the air isn't going to change that.
This is correct. The link I posted talks about Google with respect to the Fairness Doctrine, and the point of the article is that Google does NOT abide by "Fairness" (meaning it does not go to the trouble to make sure conservative results of searches are brought equally with liberal results). If anything, according to some parameters, it manages to bring more liberal results despite the conservative results more closely fitting individual parameters. The article does not explain how this happens, just that it does, but that it does not happen with ALL parameters. Therefore it could still be some minor programming thing resulting in the bias. But my feeling is that this is unlikely. Humans are writing the programs and approving/disapproving them. In any high technology urban company, I would expect a lot of employees to be young left leaning individuals and it's not a stretch to imagine their bias sneaks in, even if they themselves aren't completely aware that they're biased. It's the fish ocean water thing.
Make no mistake, proponents of the Fairness Doctrine do not want conservatives to be given equal time, the purpose is indeed an attack on talk radio as you say.
I have a problem with the whole concept anyway. If an entity is forced to produce the "conservative" point of view, it can pick and choose among supposedly conservative viewpoints and show only extreme ones, irrational ones, inferior ones, and still deliberately eliminate true and reasonable presentations.
So the only answer is true freedom of speech, meaning private parties can censor as they wish, but no one can prevent any private party from speaking. (Of course the fire in a crowded theater applies, and certain restrictions should apply such as not disrespecting someone's funeral.)