Assume Economy.
Cathay uses a fixed back style seat.
There is a recline button but instead of reclining the seat slides forward so you remove your legroom rather than the persons behind room.
Unfortunately this designed has been widely panned as uncomfortable and Cathay will be replacing it.
I do not believe Cathay (indeed like most airlines) will pay for a hotel for a 12hr layover, with all the flights LAX-HKG you surely could have got a better connection