Using the WIZ Ethernet library and evaluate existing Ethernet example.
All other steps are the same as the steps from the Arduino Ethernet Shield.
You can use examples in ./Ethernet/examples folder for the Arduino IDE 1.5.7, go to Files->Examples->Ethernet, open any example, then copy it to your sketch file and change configuration values properly.
After that, you can check if it is work well. For example, if you choose ‘WebServer’, you should change IP Address first and compile and download it. Then you can access web server page through your web browser of your PC or something.