If you talk with the people in the cafeteria, you can get a guided tour to the reconstruction of Thorhilda's church and a typical longhouse from the same period. You also see the typical dressings of the period, and maybe get to hear some Icelandic, the modern language most closely related to old nordic. It is also possible just to see the reconstructions on your own.
An original Inuit house can also be found in the village.
If you are into geology, you might keep an eye out for crystals in the area. As you walk along the roads look for faults and you may discover beautiful minerals in between the layers of rock.