Without having a book to reference, but based on how fuel gauges usually work, check the wire from the sender to ground with a DMM, there should be some resistance there. If it is open, the gauge will read empty. Check that there is battery voltage to the plus side of the gauge. If there is no power to it when there should be (the switch is on) put a temporary jumper wire to supply it with power and see if that works.
If the jumper wire makes things work, you have a problem in the wiring going to the gauge from the switch, battery etc.
If you have power to the gauge, put in a resistance circuit (ideally a decade box set to 1k) from the sender to ground. Using resistance instead of just grounding the wire is to provide a buffer so the gauge won't slam, which isn't good for them. If you don't have a resistor handy, a quick touch and remove to see if the gauge responds would tell if you have a sender, (or wire to it) problem.