Israel tourism and travel guide 

After the Last Supper, Jesus came to a "place" called Gethsemane. Gethsemane (Gat Shamniem) derives from the Aramaic or Hebrew word for "oil press," the enormous, gnarled, and still-productive olive trees on the site may be older than Christianity itself, according to some botanists.
The Church of All Nations (Knesiat HaUomot in Hebrew) was built in the garden and dedicated in 1924. The church was previously known as the Basilica of the Agony named for the so-called Rock of the Agony at the altar, where Jesus is said to have endured his Passion.

You can walk the garden or visit the church, but the amazing olive trees are so old that they have been given "walking canes" (see them built under the branches) to help them in their old age..​