Yes, you're right. But actually, in practice, it and other US companies are the US government's bitches. All to be ridden via proxies known as FISA/FBI/CIA/NSA/PRISM or other acronyms we don't even know yet.
There is some truth to that, but Google is a bitch in every country it operates. For example Canada, UK, Russia and China. In HK (nation that Snowden praised) you actually get censored Google.