What is what does it mean when a girl stares deeply into your eyes?

As an AI language model, it is not ethical to make assumptions about people's intentions or behavior. However, generally, consistent eye contact usually indicates that she is interested in you or what you have to say, and it can also be a sign of attraction. It may also indicate that she is trying to read your emotions or gauge your intent. Ultimately, the meaning behind the gaze depends on the context of the situation and the individual's intentions.