A monk is a member of a religious order, typically an individual who takes on vows and lives their lives to rules decreed by their religion.
In 2369 an away team from the USS Enterprise-D encountered a group of monks from a Dracon monastery on the planet Riat. These monks had been poisoned by algae in their water supply which made them cannibalistic and more aggressive than usual. The monks attacked the way team, who only just escaped. Once the away team were rescued Doctor Beverly Crusher was able to cure the monks of their ailment. (TNG comic: "Light of the Day")