@turquoise-- It can be. Red eyes are a sign of conjunctivitis and this is a complication of gonorrhea if it is not treated quickly.
As for a painful throat, that's a sign of gonorrhea of the throat. This infection occurs from oral sex. It's also possible for gonorrhea of the throat to cause conjunctivitis.
If you have these symptoms and had a possible exposure to gonorrhea, see a doctor! Gonorrhea shouldn't be ignored. It can lead to other health problems.