USE AT YOUR OWN RISK!
WORKING ON AIR CONDITIONING INVOLVES TOXIC GASES STORED UNDER EXTREMELY HIGH PRESSURES!
IF YOU FEEL YOU ARE NOT CAPABLE OF THIS, THEN TAKE YOUR CAR TO A PROFESSIONAL!
R-134a HAS BEEN KNOWN TO CAUSE CANCER (particularly testicular cancer) AND SHOULD NOT BE VENTED INTO THE ATMOSPHERE OR INHALED!
AUTHOR IS NOT RESPONSIBLE FOR ANY HARM TO YOUR OR YOUR VEHICLE!
USE AT YOUR OWN RISK!
That out of the way, charging your AC is very easy.
You need an AC Manifold Gauge. It has a gauge for the low side and high side, and a port for accessories (vacuum pump and cans of freon).
If the AC compressor is starting and stopping that rapidly, it means you're low on freon.
If you have no freon, then it won't start at all.
Before working on an AC system you need to get all of the old gas out. Take it to a shop and let them purge the system. There is a $25,000 fine for venting it into the atmosphere and a $10,000 reward for turninig people in.
Next, you need to vacuum the system. Put a vacuum on the system and let it sit for at least 15 minutes. If the vacuum holds, there are no leaks. Add freon. If the vacuum doesn't hold, then you have a leak. THIS IS CRUCIAL TO PROPER AC OPERATION. This will remove any moisture from the system. Moisture will cause your AC to operate improperly and will cause damage to the system.
If no leak, skip to next paragraph. If there is a leak, hook an air compressor to the accessory port. With the engine off, listen for hissing air. That will be the location of the leak.
Start the engine. Turn the AC on the coldest setting. Add oil. Check an AIM or shop manul for the correct amount of oil. Don't forget that most cans of freon contain an ounce or two of oil, so make sure you don't put in too much oil. Begin to add freon. In the beginning, the low side will drop to almost nothing, and then jump to around 100 psi. Keep adding freon. As you do, the low side should start to level off at about 30-40 psi. The high side should also start to level off, but probably closer to 250 psi (depends on the car).
Let the engine run for a few minutes to make sure the system is fully charged. Rev the engine to about 2,000 rpms and hold it there for a minute. Keep adding until the low side is a CONSTANT 35-40 psi. Do NOT go beyond a constant 45 psi. At this point, the high side should also be at a constant pressure.
You're AC is now charged and ready to go.
Good luck!