When a computer connects to a network the computer is called?

The type of computer who connect to a network depends on what the computer will do.

Most of the time, the computer who connects to a network (LAN, WAN, internet,...) will be called a 'client' (like a customer). This computer asks information on the network and another computer, called the 'server', will give (or serve) the client the information he needs.

If you set up your computer to give information to the people who need your information, your computer will be called a server.

In short: Your computer would be called a client (if you ask information) or a server (if you give information).