More so than anything, it's the dose of amoxicillin that matters for gonorrhea treatment. But the doctor has to decide the dose, so people can't just take it and hope it clears up their gonorrhea.
It's also a good idea to get tested after treatment to make sure the amoxicillin worked.
Eventually, amoxicillin will stop working for gonorrhea because the bacteria becomes resistant to antibiotics over time. Doctors used to prescribe a different antibiotic for gonorrhea some years ago but now they have switched to amoxicillin because the bacteria developed resistance.