Grace,
Different type Monasteries. Benedictines have Monasteries for men and for women, separate of course. See this from the catholic Encyclopedia (OSV Edition)
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Benedictines
This order includes both men and women religious, and follows the Rule of St. Benedict of Nursia, which was compiled in the first half of the sixth century, being based upon the earlier rules of St. Basil and St. Caesarius of Arles. The first monastery of Benedictines was founded in about 529 at Monte Cassino (approximately eighty miles south of Rome). Later, St. Benedict and his sister, St. Scholastica, established separate monasteries for nuns. The Benedictine Rule, with its emphasis upon obedience to superiors, the importance of the balance between liturgical prayer and manual labor, and the essential value of community life, became the foundation for all of Western monasticism.
Definitions from the Encyclopedia
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Nun
Strictly, the title applies only to women who belong to a religious order with solemn vows. Popularly, this term refers to any religious woman, commonly called “sister.”
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Convent
Etymologically, it comes from a Latin word meaning “an assembly or gathering of people.” It means a building or buildings in which a community of religious live. In the United States, it is generally applied to the residence of female religious. Occasionally, it can refer to a corporate monastic community of sisters or nuns.
Also different orders use different terminology, Franciscans live in a "Friary", Dominicans use the term "Priory" as do the Carmelites.
Forms of address also differ. My aunt is a Nun, she is addressed as Sister and lives in a Convent.