Apologies, I thought I'd answered that. I don't know why, must have meant to, started a post, and closed the tab when I shut my PC down last night. 
It's only the bathrooms (and locker rooms, later) that are separated by gender. The bunk rooms aren't. The individual beds, as mentioned in the doc for the ship, have sliding and locking privacy screens too, so people can always change on/in their bunks, if co-ordinating privacy is too hard.
I'll put up some more info about what facilities the individual rooms have in a later post too.