It dates from the Middle Ages and is called a chokha. It's calf-length with a tapered waist and bandoliers (shoulder-belts with loops or pockets for cartridges) sewn across the breast. Accessories typically include a hat (which can be felt or shaggy--see my friend wearing a shaggy tourist version at the very end), tall leather boots, and a belt that holds a dagger called a khanjali.
East Georgians: Kartlian peasant, townsman-craftsman, townsman-merchant, upper class Kartl-Kakhetians and Ingilos
Ethnographic Drawings by Nino Brailashvili, 1930s-1980s
West Georgians: Megrel-Gurians, Imeretians and Acharians

Ethnographic Drawings by Nino Brailashvili, 1930s-1980s
Georgian Highlanders: Tush, Khevsurs, Svans and Rachians
Ethnographic Drawings by Nino Brailashvili, 1930s-1980s
Georgian youth folk dancers:




Tourist versions of headgear from the Georgian Highlands:

Dance version of chokha with shaggy fur hat: