Conjunctivitis?

My daughters 3 and is in bed sleeping. I checked on her and noticed her eyes are super gunky and green. She also has a very runny nose and a slight cough. Am I right in thinking this is conjunctivitis? Can I just buy over the counter drops to treat it or does she need to see a doctor in the morning? Shes never had it before and I'm not quite sure what to do.