My newborn has a gunky eye. the gp took a swab to see if it's conjunctivitis or blocked tear duct, if conjunctivitis can that cause blindness?

Unlikely: You have done the right thing by having your child's eye looked at. You can keep it clean with use of warm washcloths until the results come in. Conjunctivitis is an infection of the outside lining of the eye - occasionally bacterial and sometimes viral. Blindness is remotely possible but very rare except with infections that occur during birth now routinely prevented. Your baby should do well

No: It will be treated and your newborn will be fine