synchronous multiple socket client clarification

I am going to create multiple synchronous clients . I need some explanation about below code. When i am creating a socket like below and call connect what is happening at network level.

I believe when we create a socket and call connect, a TCP/IP connection a tunnel made between client socket and server socket.

Once this sender(socket) connect with server ,that client & server will have a unique tunnel between them. if i create another client it will have another unique tunnel between them.

In case if we got an error, that the client is not connected, always we should reconnect using existing socket(sender) then we will access the same data/connection that we had. And we should not create a new socket then we will have a new tunnel and we will lost the previous connection and data.

Socket sender = new Socket(AddressFamily.InterNetwork,
                              SocketType.Stream, ProtocolType.Tcp );
sender.Connect(remoteEndpoint) 

Please clarify if i am wrong.