It wouldn't, according to accounting principles. It would be accounted for as deposits received, with a balancing liability for when the customer makes a purchase or withdrawal.
They would only record revenue when they charge a transaction fee, or any other charge/income that can't be used by/returned to the customer at their discretion. Revenue is only revenue if it doesn't incur a matching liability.
I agree that that's how it should work, but I wouldn't be surprised if Coinbase wasn't completely orthodox in their accounting. Replies below indicate that they may indeed be counting customer deposits as "revenue".
Per sources connected to their Finance Dept, that $1 billion in revenue does include amounts that would not normally be included in revenue under generally accepted accounting principles (GAAP).