You are not getting fuel to the carb.
That could mean:
1. Fuel pump
2. Fuel filter
3. Fuel hoses.
4. Fuel tubes / pipes
5. Fuel filter
6. Out of gas (yes it does seem simple but a lot of people do run out of gas)
You do not tell us if you have a mechanical or electric pump.
In any case I would start by disconnecting the fuel line at the carb. Turn the engine over and see if you get a copious amount of fuel, about enough to fill a tea cup in 30 seconds, coming out of the pipe.
If you do then you have a blockage in the carb, maybe a blocked filter just at the inlet or a blocked inlet valve. Either way you will be stripping the carb.
If you have no fuel or very little it is further back.
One thing to be aware of is that these old CJs have fuel hoses on top of the fuel tank. They rot, crack and split and then suck air. Not necessarily the problem but if your pump is working worth dropping the tank and having a look.
BagusJeep lives in Bali, the Land of Temples.
With a Jeep every prayer counts.
1981 CJ7 258ci - Bagusjeep
1984 CJ7 258ci - Puthijeep
1981 J20 258ci - Gladys