<human>: Give me the gist of the text in a nutshell

I (21F) have been seeing a guy (21M) for about a month now.  We are both juniors at the same college. 

We have never discussed what we are doing and if it could go somewhere, which I honestly take as a good sign, because I find that if they don't want to take it to the next level they make some comment about how they're ~too college~ (or something else) to have a girlfriend relatively early on. 

I've met his brother, his brother's girlfriend, and his best friend from high school, which I also take as a very good sign that he introduced me to them. He, of course, just introduced me by my name and did not specify who I was (since there is no label right now), but was not afraid to kiss me, let me sit on his lap, and make any kind of physical contact in front of his friends. We get along really well and always have a fun time both going out and stayed in, and I've slept at his place many times. He also remembers small details, like my cat's name, what kind of liquor I like, and cooks for me. He's not extremely explicit about feelings, but I could definitely see him getting more open about them, and definitely makes an effort to makes me feel complimented/appreciated.
<bot>: Have been dating for about a month and is going well, am I on the right track to eventually being his girlfriend?