The real question is not whether google, dropbox or anyone else has explicit "policies" about reading content from users. They're just going to say whatever makes them look good from a marketing and legal perspective. Companies lie all the time, systematically and comprehensively. They act in their own self-interest period. From their point of view it is merely a question of how much they can get away with.
The more interesting question to explore is how much we actually trust these companies with our personal information and how do we decide when we reach a limit to our trust.
Do I believe that google can read my gmail? Yes. Do I think this capability will cause harm to come to me as a result? Hell no. There's nothing "in it" for them to do so for me or millions of others. I "trust" them for this reason.