Are your eyes sensitive to sun? Can they burn?

Yes. The surface lining of the front of the eye is a skin, with many biochemical characteristics in common with ordinary skin. So it can burn from sunlight (wear sunglasses), tanning bed light ( they usually supply an eye cover) and uv light burns such as arc welding and accidental electrical light sparking. All of these can create a painful "sunburn" of the front of the eye.
Yes. The surface lining of the front of the eye is a skin, with many biochemical characteristics in common with ordinary skin. So it can burn from sunlight (wear sunglasses), tanning bed light ( they usually supply an eye cover) and uv light burns such as arc welding and accidental electrical light sparking. All of these can create a painful "sunburn" of the front of the eye.