In a 2 hours walks you may climb Háalda.
Starting point Landmannalaugar.
From its top, you have a marvellous view, as it is the highest peak in the surroundings.

If you have enough time, you may continue without any marked trail or path to join Stórihver, before coming back to the campsite at Landmannalaugar.
You'll need about 6 hours for the roundtrip, but, if you take a camera, better to be prepared to spend more time on the trip.