Enjoy breakfast at the hotel. As a suggestion, you can take a walking tour of Reykjavik, visiting key sites such as Harpa Concert Hall and the Sun Voyager sculpture. You can also visit the whale museum, Fly Over Reykjavik or other attractions.
Lunch at a local cafe. Visit the National Museum of Iceland and Perlan Museum
If there is interest, excursions in smaller groups can be arranged. More information later.