According to The Mayo Clinic, gonorrhea itself does not cause infertility and having had it would not affect your ability to get pregnant. However, gonorrhea can cause Pelvic Inflammatory Disease (PID).
If Pelvic Inflammatory Disease isn't treated properly, it can damage your reproductive organs which could lead to infertility or a lower chance of getting pregnant.
So here's what I think you should do - I think you should get in touch with the doctor who treated you for gonorrhea and find out if you were tested for pelvic inflammatory disease and if you were, what the results were. If you weren't tested, I would make an appointment to get tested.
Again, according to The Mayo Clinic, the test for PID would include a pelvic exam, where your doctor would check things out to see if there's any inflammation, scarring, etc. They would probably also take a sample of your urine and cervical fluids. All of this, along with any symptoms you describe to them, would be used to diagnose you (or not!) with PID.
Now, if it turns out you don't have PID, there are other fertility tests that you and your partner could undergo. Remember that it's possible that your partner is the one dealing with the fertility issues, not you. Most doctors, however, would probably not test you or your partner for fertility issues until it's been a full year of trying to conceive without success. That's because even in healthy couples who have zero fertility issues, it can still take a full year to you conceive!
In the meantime, to up your chances of conceiving I would invest in OPKs. These are tests that you pee on just like a pregnancy test, and they let you know when you're ovulating so that you know when to have sex. Conception is tricky in that there are only a few short days during the month that women are fertile enough to conceive. So even if it feels like you've been trying for months, the problem may just be in your timing.