The reason "do not prescribe antibiotics until testing results are available" is incorrect is because we already have a gram stain that shows gram-negative diplococci in pairs. This is Neisseria gonorrhoeae. So, no need to wait for test results come back.
The Q-stem stating that "Testing for Neisseria and Chlamydia" is ordered" after already having done the Gram stain seems to be a distractor.
There are certain situations in which you don't need to notify parents about anything when treating a child--STIs are one of them. The reason being that untreated STIs will cause more spread as well as can lead to PID