"I <did x>, and then they took the rare action of closing my account (which they're not allowed to do in response to <x>) for no apparent reason" is more than enough to
1. Get discovery to gather further evidence
2. In the absence of a convincing rebuttal from Google ("he was sharing copyrighted movies via Google Drive, and per our policies we closed his account like we closed 1000 other peoples accounts. Our policy is exhibit A, the list of copyrighted movies he shared is exhibit B, the list of other similar accounts is exhibit C"), is probably enough to win a civil court case by itself.
The standard for civil cases is generally "on the balance of probabilities", not beyond a reasonable doubt like in criminal cases. Courts are allowed to rule on what seems like the likely reason that someone did something.
Disclaimer: Not a lawyer, bladdy blah blah, if you take this as legal advice your both a fool for not consulting a lawyer, and taking advice from someone on a topic where they themselves admitted that they don't know if Google is even prohibited from doing business with you in this hypothetical.