Troubleshoot '48 gm fridge

I have a family '48 GM Frigidaire that quit running after unplugging it to move it. I plugged it in and when I turn the thermostat dial, all I get is a click…it won’t start to run. I am looking for guidance as to how to go about troubleshooting it and getting it to run again. If I need to tear it all apart I am willing to learn how to do that.

A model number may help others help you.
Find your model number - AppliancePartsPros.com