Neisseria gonorrhoeae and Neisseria meningitidis are aerobic, non-spore forming diplococci typically found in pairs that can cause gonorrhea and meningococcal meningitis, respectively, in humans. They have similar morphological and cultural characteristics but differ in their pathogenic properties and diseases caused. Laboratory diagnosis involves microscopic examination of samples from infected sites as well as culturing and biochemical testing to identify the species.