Question: is the garden of gethsemane the same as the mount of olives

Answer: No, Gethsemane (Greek: Γεθσημανή, Gethsemane; Hebrew: גת שמנים‎‎, Gat Shmanim; Syriac: ܓܕܣܡܢ‎, Gaḏ Šmānê, lit. ``oil press'') is an urban garden at the foot of the Mount of Olives in Jerusalem, most famous as the place where Jesus prayed and his disciples slept the night before his crucifixion; i.e. the site recorded as where the agony in the garden took place.