Instead of saying "she is the kind of person that really gets other, she really understands them deeply", I want an adjective for that. It's not empathetic.
Even if you said that it’s not empathetic, I think that what you’re looking for might be:
Empathetic Someone who has the ability to understand and share someone’s feelings and emotions.
Understanding Someone who is aware of someone’s condition, is tolerant and doesn’t judge.
Sympathetic Someone who is concerned about somebody and cares about them and what they feel.
Supportive Someone who understands somebody, helps and encourages them.