A resi fridge will draw upwards of 1000 watts on start up, a smaller unit (10 cuft) may draw a little less, you'll likely need a pair of GC batteries and two 100 watt panels as a minimum, and will not be able do much of anything else from them. and a couple of rainy/cloudy days will likely overtax that. Better to look at 4 batteries, and at least three 100 watt panels and 4 would be better.
A very rough rule of thumb is to try to match watts of solar to amps of battery, ie for a single battery with almost 100 amp hrs capacity to a 100 watt panel.
An audit of your actual usage, and then sizing a system to be 50 to 100% above your indicated usage is preferred to allow for partial shade or overcast conditions.