Build a Relationship / Becoming Less Boring

I suppose this is a common situation, but nothing on Google really seems to hit home towards what I need. I'm open for advice, and also open for purchasing books related to this.

Background
I just started dating her earlier this week. I'm 21, she's 18. We both enjoy theater and acting, and overall have a good "click" together. Originally I met her through my roommate, who invited her over and we had a good time. From day 1 we had great chemistry, though it was hidden because my roommate was also interested in her. He had never acted on it, and they never clicked (partially because we were into each other). About a week ago we had talked, and more or less got the approval from him (didn't want to hurt his feelings, he's a close friend after all), and he was fine since they never hit it off.

Now that the entire forbidden aspect is gone, we spend more time together, which is where my problems are starting to begin. I want to address this head on right away because, despite only knowing each other a month, something feels very right and it's a relationship that I want to develop for us, and at the same time improve a lot of nuances about myself that I've always meant to fix, but haven't.

Part 1 - Relationship Books
For the first part of this, any good books on relationships (free or not) that you know of... please recommend. I could take all the "be yourself" advice, but there's a lot more I should know since past relationships have been more physical, which is not what I want anymore.

Part 2 - Becoming Less Boring
This is where I am weak, mostly because of my childhood. No details should be needed regarding my past, but I am generally an introverted person who enjoys social events, but I really fail at getting involved and tend to lurk. Deep down I really want to be more involved, but generally fall apart because the people I hang out with easily fill in all space and it's hard to break in.

I'm a very caring person, and on that level, I believe I'm very strong in the relationship. But I need to be more fun so that on days when we get out, I won't feel so awkward.

Thanks in advance for any advice and tips, I'll check the thread often and will listen!

Jam it back in, in the dark.