Network server is a type of central repository (file server), where computers connected to it can access files stored in the repository. There can be other types of network server, besides file server, like printer server.
Network server are usually not available over the internet and require users to connect to a local network (intranet), in order to access it.
The server is managed by an administrator. One of the jobs of the administrator is to password protect and/or add users to the server.