给我站住: Idiom or common meaning
"给我" is usually interpreted as a command or an order to do something for the speaker.

"站住" means to halt or to stand still.

"给我站住" is not an idiom, but a command to stop a person from walking away. In this case, Google Translate got it wrong. "给我站住" is usually spoken when someone has done something bad and you want that person to stop walking away from the "crime" scene:


  你给我站住！


"等我" is to ask someone to wait for you. Therefore, the two do not share the same meaning at all.