There are plenty of things to experience in and around Dharamshala.  

Visit to Mcleodganj: Dominated by the Tibetan community, Mcleodganj is situated at an elevation of 2,082 m and is also referred to as "Little Lhasa". The main street of Mcleodganj is sprinkled with Tibetan craft shops. 

Trip to Dharamkot: Uphill from Mcleodganj, the scenic views get wider with rising elevation. This village is also the base for a trek to Triund, a scenic pasture land higher up in the mountain range.

Bhagsunag Falls: For those who visit the Bhagsunag Temple near Mcleodganj, an uphill walk to Bhagsunag Falls is a good place to unwind. 

St. John Church in the Wilderness: A relic of the British Raj, the St John Church in the Wilderness was constructed in 1852 and is set in a forest at Forsythg Ganj. 

Kangra Art Museum: At Kotwali Bazar is the Kangra Art Museum, a treasure of art and history about Kangra valley and Tibetan culture. It also has a fine collection of miniature paintings. One can visit Cricket Stadium at Dharamshala and War memorial.

Website link: https://himachaltourism.gov.in/destination/dharamshala/