Both the law and Googles privacy policy stops them telling the world if you sent bomb threats to the president. That's still your private mail. They can't go looking it it, let alone telling the world about it.
> That's still your private mail. They can't go looking it it,
They definitely subject it to all kinds of automated scanning for spam and potentially abuse. The nearest thing to a public statement from Google on the subject seems to be: “very specific cases where you ask us to and give consent, or where we need to for security purposes, such as investigating a bug or abuse”
i.e. there may be abuse cases where they read your mail without asking.