In the days prior to a certain search-engine's rise to fame, thereby distorting the original meaning, the term "google-eyed" referred to a certain odd and slightly humorous appearance or expression in someone's eyes. Whether the person was slightly cross-eyed, cockeyed, or had a lazy eye, or simply postured their eyes in an odd way during an expression, they were "google-eyed."
In newer post-google.com use, it probably refers to someone who has spent far too many hours "googling" or web-searching for something and reading too many webpages.
- "Hey you're pretty cute!"
blushing and slightly google-eyed.