Pretty much a client server network is known as a client server network.

For the internet; your web browser is the client and the web server is the server.

Server program is always running in client server.

(Mail Client Server) e-mail client is also used to refer to any agent acting as a client toward an e-mail server,

A client cannot see what a server is doing; the only thing that can be monitored by the client is the data communication between the client and the server.

If the client needs to see what is going on in the server then the client needs to connect to the server using remote desktop protocol, Terminal Services, telnet, or some other way to directly connect to the server.