1. Staring at someone or something in surprise with the eyes open very wide. I have some great pictures of the kids looking positively googly-eyed at the zoo. Mary's announcement that she was pregnant left most of us googly-eyed.

2. Looking visibly enamored or smitten with someone. Often said of two people who are romantically interested in each other. Well, if you keep staring at her all googly-eyed, she'll know you like her sooner than later!