I am for liberty. I don't like when governments censor their citizens and I don't like when corporations censor their users or customers. There is no contradiction. The fact that google and co can censor others is just thanks to the government being liberal and allowing action that goes against this value. This is similar to the paradox of tolerance except for liberty: "do we allow free expression for those who use it to restrict others?". And I say we do, but I don't pretend to be happy when they do.
The contradiction is that you are saying the government can censor Google, just not you. So in other words you want to give the government the ability to tell Google “put this on your home page” for any value of “this”.
The only way to prevent a corporation from exercising their right to free speech is to have the government interfere. So the part where you said you don’t like Google censoring people is where you said you want the government to censor Google.
