First test to that there is battery voltage on one side or the other of the two terminals on the back of the gauge. If not, you have an open fuse or bad wiring. You will find voltage on both sides of the gauge if the systems is all working ok. The voltage on the wire that goes to the tank sending unit will vary depending on the fuel level in the tank--in a normally operating system.
If you have voltage on one side of the gauge and none on the other, disconnect the side with no voltage. Check to see if this wire is shorted to ground. Or disconnect both ends of this wire (the other end should go to the tank's sending unit) and replace with temporary jumper. If it works, replace the wire, it's shorted to ground.
If you have battery voltage on one side, then the other wire on the other side goes to the tank sensor. A very quick tap of this wire to ground will cause the gauge to swing to full. Be careful, just a quick tap while looking at the gauge. If it doesn't move you have a bad gauge. Repeat this step at the sending unit to verify the wiring on this side too. If the gauge moves in both cases then you have a bad sending unit.
If the guage moves in the first case and not in the second, the wiring is bad-it's broken open. Just to be sure, use a clip lead to bypass the wiring from the guage to the sending unit.
If the gauge moved in the previous steps and you still have no indication, the sending unit needs replacement.