Some people date for many years, others date for months, or even weeks. If you cannot do that, then you should not be dating: it is not fair to either of you.
Like any relationship, dating and marriage should not be put into a box. Remember, you are trying to figure out if the two of you are a marriageable match. Your relationship is not so important that you cannot enjoy yourselves! Do romantic things, do normal things, do things together, and do things with your friends!
For instance, some people fall in love immediately and they have a smooth dating experience.
For other people, although God may be leading them, the feelings for each other take time to develop.
Talk and interact with them, face-to-face if you can, but give them plenty of room to breathe. The purpose of dating is to see if two people are a match.