From The Collaborative International Dictionary of English v.0.48:
Nunnery \Nun"ner*y\, n.; pl. Nunneries. [OE. nonnerie, OF.
nonerie, F. nonnerie, fr. nonne nun, L. nonna. See Nun.]
A house in which nuns reside; a cloister or convent in which
women reside for life, under religious vows. See Cloister,