点 means a unit here. Usually, it is a department of a university.

A 硕士点 is authorized by the government that it can authorize a master's degree to the students.

碩士點係指經授權後能自行授予碩士學位的學科或專業 單位 （一般為 學系 ）。

点 means a unit here.

This 点 is the same as the one in 地点 or 景点.

In this case, it is a place that they can confer Master's degrees.

Usually, it is a department of a university, which is also an organization (组织) or a unit (单位).

A 硕士点 is authorized by the government that it can authorize a master's degree to the students.

碩士點係指經授權後能自行授予碩士學位的學科或專業 單位 （一般為 學系 ）。