The short answer is, no that's not what you want. There's multiple things going on here.. First of all, you don't "have" to convert the fittings on the car, however most auto shops probably wouldn't have the old style gauges. Actually, R12 cars used the same gauge connectors as most HVAC units (like AC units, commercial refrigerators, etc). I worked on an old Q a long time ago and I just used my R22 gauge set and you can vacuum/charge just fine, even though I charged with R134a.
If you want to convert to R134a fittings, you'll need these.. Those will convert your existing R12 ports to work with automotive R134a gauge sets.
http://www.ebay.com/itm/R-12-to-R-134A- ... NA&vxp=mtr
I believe when you install those you have to take the schrader core out of the existing port, which means you'll need to evacuate the system first. Basically the same idea as taking a valve stem out of a tire.
The *MOST CRITICAL* part about converting is making sure you get ALL the old oil out and replacing the filter drier (sometimes called the accumulator). That means forcing some sort of solvent through the condenser, evaporator, all the refrigerant lines, and of course changing the oil in the compressor.
On another note, if the system is working but just working poorly like it needs recharged, you could try this stuff:
https://www.amazon.com/Freeze-12-Refrig ... =freeze+12
I used it on an old BMW I had that had a completely flat system. It didn't work "as new", mainly at idle/low speeds the AC would struggle to keep up, but when cruising at normal speeds it worked great. Bottom line for the money, it was better than no AC. Note also that by converting from R12 to R134a your AC will never work as good as factory.
If your system still has refrigerant in it and doesn't need evacuated, I'd give the freeze 12 a try.