Greece is a town in Monroe County, New York, United States. A suburb of Rochester, New York, it is the largest town by population in Monroe County, and the second-largest municipality by population in t…Greece is a town in Monroe County, New York, United States. A suburb of Rochester, New York, it is the largest town by population in Monroe County, and the second-largest municipality by population in the county, behind only the City of Rochester. As of April, 2020, the town has a population of 96,926.