We use the gender-neutral term “partners” to refer to people in an intimate relationship, but you might use a different word (and that’s okay)!
Another possibility is that you and your partner are married.
At loveisrespect, we define “dating” as two (or possibly more than two! The relationship may be sexual, but it doesn’t have to be.
It may be serious or casual, straight or gay, committed or open, short-term or long-term.
Remember the rules for a healthy relationship apply to hook-ups, too.
There’s no singular right answer to this question, because everyone is different!