not all forms of "pink eye" is contagious such as allergy or chemical irritants. not knowing the cause of your dog's pink eye i really don't know if the pathogen is contagious to you or not so it would be wise to wash your hands carefully after administering the eye drops to the dog (assuming the dog is under treatment). in the vast majority of cases you will not get pink eye from the dog.
is dog pink eye contagious to humans