Located on a pedestrian street in "ciudad vieja", this museum is dedicated to the works of Joaquin Torres Garcia. Virtually unknown in North America (at least to me), he is perhaps the greatest Uruguayan artist and is even commemorated on local currency.
The free museum has several floors with modest displays of his abstract artworks. Take the elevator to the top floor and work you way downward. The front of the museum has a smallish souvenir store with a decent selection of books and various gifts.