I'm glad you have a journeyman going with you. I also think its good that you are eadger to learn and help. That's a good sign for your future as an electrician.
Basically, the refrigerator draws a lot of current when the compressor motor starts. This causes a voltage drop along the relatively small wire feeding the receptacle. If lights are on the same circuit, they also see this voltage drop. That shows up as the lights dimming (for a second, they only get 100 volts instead of 120v.)
If the fridge is on a different ciircuit, then it is either drawing enough current to cause a voltage drop on the main feeder wires and the service conductors, or it might be a loose connection like CPAL mentioned.
If you have a code book, look at 210.11(C)(1) and 210.52(C)(1). That says you need at least 2 branch circuits in the kitchen to run receptacles. It also limits what else you can put on these circuits (no lights are allowed). It also says the refrig can be on one of these 2 circuits, or it can have it's own circuit.
Steve