You might want to spend some time browsing the exhibits at Munkeruphus, Gilleleje Museum, or Rudolph Tegners Museum and Statue Park. Gilleleje Strand, Hornbaek Beach, and Dronningmølle Strand are great spots if you want to spend some time by the water during your stay. Take in some of the local culture at Mulle Moth Keramik, Else Secher Pottery, and Art Cafe.