"Everybody seems to know me. It's very strange"

Julia Louis-Dreyfus is revealing her surprise at how well-known she is. In spite of being an entertainer and having a public personality, she may be shocked by the level of her fame. Perhaps she is frequently approached by complete strangers or acknowledged in public. It could also be that she is feeling a bit overwhelmed by the attention she gets, and discovers it uncommon that a lot of individuals recognize with her. Regardless of her popularity, she might still feel like a regular individual on the within and be humbled by the truth that so many individuals are aware of her existence.