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The Potala Palace: As the landmark of Lhasa city with the spectacular physical structure, the Potala Palace is highest ancient palace and plays an important role in the Tibet history.
Jokhang Temple: Located in the center of old Lhasa city, Jokhang Temple is the irreplaceable representative of Tibetan religion, furthermore, it is also the holiest destination for all Tibetan Buddhist pilgrims.
Drepung Monastery: As the largest Tibetan Buddhist monastery, Drepung Monastery attracts many people to see the Thangka Unveiling at the Shoton Festival.
Mt. Everest: As the highest mountain in the world at elevation of 8,844 meters, Mt. Everest attracts lots of tourists to have a hike there.
All of these are must-see places in my mind. While if you have other recommended places, you can tell us with your comment.