Even if you have oral gonorrhea, you wouldn't pass it to your son. (There was a recent study that suggest that French kissing, or kissing with tongue, may transmit it, but it still requires a lot more research to prove it, and I'm assuming you aren't kissing your son with tongue.) Regular, casual contact doesn't transmit gonorrhea.
You should get checked for it - they can test your throat for it - though it's possible you have the same virus your son has.
Hope you both feel better soon!