The Glaumbær Farm first exhibition was opened in 1952, but the farm had served as a dwelling until 1947. The old turf farmhouse forms the backdrop for exhibitions focusing on rural life in 18th- and 19th-century Iceland. On the museum grounds at Glaumbær, there are also two 19th-century timber houses, Áshús and Gilsstofa. These are good examples of the first timber houses built in the region. Áshús contains exhibitions and the Tea Room Áskaffi, which serves traditional light Icelandic fare. Full meals are available if booked in advance. Gilstofa, at present, contains the Museum´s administrative offices. Together these three buildings are a powerful reminder of 18th- and 19th-century life in rural Iceland.
In Glaumbaer stands the statue of Guðríður in a boat carrying Snorri Thorfinnsson on her shoulder. He is considered to be the first white child to be born in the Americas, apart from Greenland. He became an important figure in the Christianization of Iceland. Speculation is that he was born between 1005 and 1013, a long time before Columbus "discovered" America.