Nice, uncommon old fridge!
I love the "oddball" antiques like this. Very neat piece of history. Unfortunately it is too far from me!
As for the power use, they don't give an actual power requirement on the nameplate. There is some fairly deep science involved with alternating current motor "power" consumption. You can't just multiply amps times volts like you can for a heater or a DC load.
The power company charges you for the "watts" used by the appliance. This measurement roughly relates to how much fuel the power plant needs to burn, on the other end of the line, to power your appliance. They calculate this and bill you for accumulated "watt-hours" of energy used.
The motor's amps rating is important, to know the health of the motor; however when dealing with alternating current, it doesn't actually provide enough information to know how many watts of power the motor uses.
The motor's horsepower rating does tell you a good estimate of the wattage. The motor is rated 1/8 HP. One HP equals 746 watts. So, doing the math, the motor delivers about 94 watts to the compressor. Motors like this are in the lower ranges of efficiency, possibly as low as 70%. We can divide the 94 watts by .7 and come up with 133 watts. So, the motor would use an estimated 133 watts.
The current draw of the motor is not perfectly in phase with the AC voltage waveform. This is due to the magnetic field requirements of the motor. This out-of-phase current is not converted to power, and is recycled in the system as "reactive" power. Therefore it is not how electric service is billed.
To know the actual power use, you would need to connect a watt meter (such as a Kill-A-Watt device) to the fridge while it's running. For instance, my 1/8 HP Frigidaire fridges use about 110 watts, and my 1/8 HP GE Monitor Top DR uses about 130 watts, both of them are rated 1/8 HP.
As for how modern fridges draw such low amps, they use a motor which is equipped with a capacitor. The capacitor provides the reactive power, thereby shifting the current waveform and the voltage waveform together in unity.
Hope this is interesting and educational and doesn't ruffle any feathers LOL!
Here is a video where I demonstrate the capacitor effect. Skip to 25:30 if the video starts at the beginning and you're not wanting to watch the entire thing. You can select the "Click here to go to LINK" at the bottom of the post and it should take you to the part where the capacitor is used.