All dating-related things and especially such intimate issues as sex are illegal in Qatar. It is impossible to share the details of your love life as freely as you do in western countries. This means love life is reserved and fully kept between the two participants of the couple.
Being a person from outside Qatar you will have to get used to the fact that showing your affection in public is impossible. Hugs, kisses and even holding hands are considered too vulgar and inappropriate. Even if you and your partner are not qatari, try to keep everything behind the locked doors just for the sake of your personal safety as well as to avoid judgement.
You also can’t legally move in with your partner until you are married. But don’t see it as an obstacle and rather think of finally enjoying your time together when you finally become a family. Waiting for the best things to come only allows to gain appetite.