If a person is tested positive for gonorrhea, it is okay for he/she to continue engaging in sexual behavior while taking meds?

NO! You should wait until you have completed your medication and test negative for gonorrhea and other stds before resuming intercourse. All partners one has prior to infection should observe the same practice.
Gonorrhea. You should wait to make sure you are cured and you should be using condoms (or your partner) one way or the other.