You can book several iceberg watching boat tours half a day or full day with any of the hotels in town. The icebergs are everywhere, and going around them on a boat can provide some amazing views.
Boat tours are also available to a nearby abandoned village of Ikkatteq, usually combined with iceberg watching.
There are also helicopter tours to nearby glaciers, with or without landing on them.
And of course the best sightseeing is the one that you create for yourself. The best approach is to plan your hike around the island, and book the tours on your extra days, if you have any remaining.
