Greek men mostly wore a tunic, a sort of knee-length t-shirt made of wool or linen. Over the tunic they wore a wool cloak if it was cold out, which they could also use as a blanket if they needed to (for instance if they were off somewhere fighting a war). Their legs were bare, and they wore leather sandals when they weren't barefoot. But many men went barefoot their whole lives.
Greek women wore one large piece of wool or linen, wrapped around them and pinned in various ways to make it stay. The ways of pinning it changed over time. One way was to fold the cloth in half, and put it so that the fold in the cloth came under your right armpit and down your right side. Then pull up on the front and the back of the cloth so they meet over your right shoulder and pin the front and the back together with a big safety pin.
Then pull more of the front up over your left shoulder, and pin it to the back in the same way. Finally you will notice that your dress is still open all along your left side: tie a belt around your dress at the waist to keep your dress closed. These dresses always came down to their ankles.
When it was cold, women also had long wool cloaks/blankets to keep them warm.