Built a new server

So I got a new server from Dell, the OS is installed, and I want to start testing somet things. I had asked a question earlier last week, but the answers I got weren’t helping me out. So I’ll try to rephrase it here.

I want to have this server conneced to my LAN but not be able to see the other computers. I want to some how be able to connect it to my LAN but have it act as if it were on it’s own broadband connection. Does this make sense? Maybe I’m not explaining it properly? I thought I needed to create a VLAN, but I don’t know how. I have a VLAN capable switch.. but I don’t know if I need something else.