If you are talking about the university student unions in the west countries such as the States, Canada or UK, there is no exact position corresponding to 生活部部長 as in the student unions in the Chinese universities. But you can generally translate this position as follows:
1) If the leadership of a student union is the union council, constituted by the union chairman (or chairwoman) plus a number of union councillors, then you can use Councillor in charge of Welfare and Entertainments.
2) If the leadership of a student union is the union board, constituted by the union president plus a number of union officers, then you can use The Welfare & Entertainments Officer.
Just for your reference. There might be many ways to name the position depending upon the union leadership structures.