The oracle-bone form is literally a big eye on top of a kneeling person: a human reduced to the act of looking. Seeing someone became meeting them.
再见 'see you again' is the everyday goodbye. 见面 to meet face-to-face, 意见 opinion (what your eye lands on). The eye-with-legs even walks into other characters: 现 appear, 视 look at.
An EYE on LEGS walking around — SEEING and MEETING.
明天见 'see you tomorrow' needs no verb 'meet' — 见 alone carries the whole appointment.