In The Tempest, what does the boatswain request Gonzalo do?

The boatswain tells Gonzalo and the other men that they're getting in the way of his work and should stay in their cabins.
The ship's in the middle of a violent storm whipped up by Prospero on his remote island. But despite the imminent danger that they face, Gonzalo and the other guests on board ship can't stop popping up on deck to see what's happening. The boatswain's none too pleased about this and openly chides his alleged social betters to their face, much to their displeasure. After he tells Gonzalo and the other men to stay in their cabins, Gonzalo effectively tells him to calm down:

Nay, good, be patient. (Act I, Scene I)

The boatswain says that if he's wound-up, it's only because the sea's wound-up. He once again tells Gonzalo and the other men to get below deck. This man is clearly no respecter of rank; he has no compunction in barking orders at aristocrats, even after Gonzalo ticks him off for speaking out of turn.
In fact, he has the last word with Gonzalo, mockingly inviting him to use his authority as a king's adviser to order the storm to calm down. The boatswain knows full well that irrespective of the huge differences in social rank between him and his passengers, out on the high seas, he's the one in charge.