Here are some famous tourist attractions that are worthy of being recommended to you, such as the landmark of Lhasa city - Potala Palace, Tibetan shopping center - Barkhor Street, a holy site for Buddhists - Jokhang Temple, etc. If you are interested in Tibetan culture, you have no reason to miss the hot Buddhism debate in Sera Monastery, witness the grand Shoton Festival at Drepung Monastery, do kora around Jokhang Temple, and so on.
Besides those attractions mentioned before, Ganden Monastery - the 1st and primary monastery of the Gelug School of Tibetan Buddhism, Drak Yerpa - the holiest meditation caves, and Norbulingka - a royal palace park are also your priority destinations.
Here are maps of Lhasa attractions. Click to view a bigger image.
Recommended Tour Itineraries in Lhasa Prefecture
8 days Ganden to Samye Trekking Tour
$1812 Per Person
19 days Mt. Everest & Ngari Off-The-Beaten-Path Tour
$3939 Per Person
6 days Chengdu Lhasa Train Tour
$785 Per Person