you have one of a couple possibilities.
One (most common) choke is not choking all the way. Does it stay running after you help it with the kick starter (starting fluid)? If so, your throttle/choke cable could stand to be adjusted.
Second possibility. This is a usual symptom: Kick start it with starting fluid, then as soon as the fluid "shot" runs out, the engine dies. Repeats over and over, will not self-sustain. Assuming the fuel is actually getting TO the carburetor, the possibility exists that the fuel shutoff solenoid is stuck. The solenoid cuts fuel flow through the jet in the carburetor, so it don't backfire when you turn the key off. It also doubles to reduce hydrocarbon emissions, as when you cut spark from the engine, the engine will continue to rotate, which draws in fuel/air through the carb, and exhausts it out of the tailpipe--installation of the solenoid solves those two issues. But it's also another part to go south. The majority of the time, if i saw a solenoid fail it was due to old staled fuel. There were a couple exceptions but not many.
if you ain't getting any fuel to the carburetor, I would be willing to bet that the pickup tube and/or the shutoff valve in the fuel tank is plugged up.