Now, seeing that there is no conversion sticker and no 134a adapters, I would say your system has never been converted.
But, is the A/C system not working at all? Is it working but not performing to spec?
Before you pay for an unnecessary procedure you might try this quick evaluation of your system. It won't tell you whether it contains R-12 or 134a. But it will give you a good idea of it's overall condition and whether you are looking at extensive repairs in addition to the conversion.
First do what SAATR says - pull the dust cap of the service port on the receiver and depress the schrader valve pin. If the system still has any refrigerant in it some will squirt out.
If nothing comes out, stop and go get the conversion done- the system has been exposed to atmosphere and is contaminated with moisture and air.
They shop will (or should anyway) flush the system, change the oil, evacuate and then recharged with 134a.
If you do find some refrigerant remaining in the system:
Next check compressor function by jumping the low pressure switch. The switch is on the receiver shell - the rubber connector that has 2 wires attaches to it. Pull the connector off and stick a bent piece of wire into the 2 slots to simulate a closed switch. This is best done with the engine running.
As the wire is jumped across the terminals look over at the compressor. When the jumper connects the terminals, the clutch plate should pull in and begin turning along with the drive pulley.
If it does pull in and start driving the compressor, reach over and feel the low side tubing (the large aluminum pipe that comes out of the evaporator casing and goes into the receiver).
If there is some refrigerant in the system, and the compressor is pumping, the line should begin to cool down.
At that point you will at least know that you have a functioning system. If it does not operate normally, the problem could be that is just needs a charge or the low pressure switch is bad.