1.
to give up one's seat, to offer one's seat
To stand up and let someone else sit down, typically for elderly people, pregnant women, or others in need on public transportation.
2.
to hand over one's position, to step aside
To relinquish a position or role to someone else, such as a leadership post or organizational role.
Pattern: 〜に席を譲る
The person you give the seat/position to is marked by に.
Sense 1 (LITERAL): A common social behavior in Japan, especially on trains and buses. Signs for 優先席 (priority seats) remind passengers to yield to those in need.
Sense 2 (FIGURATIVE): Used in organizational and political contexts when someone steps aside from a leadership role to let another person take over.