A nunnery is the same things as a convent.
The nuns sleep in the nunnery in the convent.
Convent or Nunnery
a convent/nunnery
monastery, convent, priory, nunnery, friary
Hamlet tells Ophelia to get to a nunnery. However, "nunnery" not only meant convent but was also slang for whorehouse. It's a matter of interpretation every time he says it which one he means, or whether he might mean both.
Convent Nunnery
Convent, Cloister, or Nunnery
A nun lives in a monastery while a sister may live in a convent.
A gathering of nuns is called a nunnery. Or a convent.
Monastery, abbey, convent, nunnery, priory, cloister.
A convent or a nunnery is a housing quarters for a nun.
Try "cloister, abbey, friary, priory, priorate, convent and nunnery". Hope that helped.