Connecting a node to an Ethereum private network is just a couple of steps process.
First off, downloading some scripts:
From the connect page (<connect> in the actions menu).
Unzip, install and run Geth
When you run Geth it will open a terminal/CMD window
Enter your enode URL when prompted (you'll find your URL by clicking on <connect> in the actions menu)
That will connect you to your Ethereum node.
You can then run the Geth console to start interacting with your network.