You can click on her when she’s sitting in the living room to interact. You build trust and attraction through these various interactions. From my own experience and what I heard from testers, the best strategy is to try one different topic in the casual topics list every day and see if her trust increases from that.
Once you found a topic that increases her trust, there is a good chance (~30% chance) that there is another topic in that same category that she will like. This gives you 2 additional topics every evening to discuss that will build her trust.
Happy hunting!