Learn Scottish Gaelic at Sabhal Mòr Ostaig, Skye's famous Gaelic college. Attend one of their short courses or do a full degree. Visit Sabhal Mor Ostaig (http://www.smo.uhi.ac.uk/...).
Cuillin
Go walking in the Cuillin, Skye's most famous group of mountains, or enjoy the coastal treks elsewhere on the island. Visit Isle of Skye walks (http://www.skyewalk.co.uk/), a free and independent guide to walks on the island.
Walk/climb the Quiraing.
For the less adventurous, there are boat tours (http://www.mistyisleboatt...) of the Cullins during the summer months leaving from the remote village of Elgol. The views are stunning and you'll get to see some seals too.
Isle of Skye Music Festival
The Isle of Skye Music Festival (http://www.skyemusicfesti...) is a mid-June event featuring popular music with both regional and international entries. This year's edition is on June 16-17 at a semi-abandoned airfield site near Broadford.