Did the UN Give Jerusalem to Israel? No.

The United Nations did not give Jerusalem to Israel. The 1947 UN Partition Plan (Resolution 181) proposed Jerusalem as a corpus separatum under international administration. However, the 1948 Arab–Israeli War resulted in West Jerusalem coming under Israeli control and East Jerusalem under Jordanian control. In 1967, Israel captured East Jerusalem and later annexed it—a move not recognized internationally. Today, the international community considers East Jerusalem occupied territory, and the city's final status remains a core issue in Israeli–Palestinian negotiations.