Who did Allah show himself to?

Moses' Encounter with Allah

When Musa [Moses] arrived at the designated time set by Us and his Lord spoke to him, he requested, "My Lord, let me see You so that I may gaze upon Your glory." Allah responded, "You cannot see Me, but direct your gaze towards the mountain; if it remains steadfast in its place, then you will be able to see Me." However, when His Lord manifested to the mountain, it was... Did Allah reveal Himself to Moses?