I guess you mean searching for "Tiananmen square" in China It seems to me it's the Chinese government censoring this, not Google. Google has a role, of course, but it's that it isn't able to stand up to the Chinese Government. (Breaking it up, whatever that means, surely wouldn't improve its leverage over the Chinese government.
Just pointing out, your angst on this score is misdirected. Change in China will not and cannot come from foreign companies operating there.