Rongbuk Monastery is 335 kilometers away from Shigatse City. You can get to Shigatse from Lhasa by road first. The road from Lhasa to Shigatse then to Rongbuk is well-paved.
It lies at an altitude of 5200 meters, the gradual altitude acclimatization at a slow pace is extremely important. Thus, a journey from Lhasa to Rongbuk Monastery and Everest Base Camp will take eight to twelve days to complete, depending on your exact travel itinerary. From Everest Base Camp Tours, You might find one tour that can suit you well. Rongbuk Monastery is just near to the Everest Base Camp and there's a good point to take photographs of Mt. Everest.