For hiking purposes we use the name Palestine for the two geographical areas known as the West Bank and Gaza Strip. Being partly under the control of the Palestinian National Authority, these areas are distinct from Israel.
The West Bank is a landlocked area on the west bank of the River Jordan, with rather dry and rugged hilly terrain. Highest point is Tall Asur (1016 m). There are two long distance hiking trails leading through the Palestinian West Bank: the Nativity Trail and the Abraham's Path.
The Gaza Strip borders on the Mediterranean in the west and Egypt in the south, and is a mostly flat area with some low hills and sand dunes along the coast. Highest point is the hill of Abu Awdah (105 m) in the far souteastern corner. No hiking trails that we know of in Gaza.
When hiking in Palestine, carry lots of drinking water and a hat to protect yourself from the hot sun.