Take it at your own pace and be genuinely interested in learning about others. You don't have to be a rousing conversationalist. Active listening is a superpower and people are attracted to those who listen.

Be careful how you identify yourself. While it may be true that you're an introvert, be aware that along with that label you may be imposing artificial limitations on yourself.

I highly recommend the book "Quiet: The Power of Introverts in a World That Can't Stop Talking" by Susan Cain. Our culture idealizes extroverts to the point where we as introverts don't recognize what a gift it can be. The book contains a wealth of research and stories and is incredibly empowering.

Also if you're socially avoidant, there's a reason for that and I would recommend investigating it through introspection and/or working with a counselor. Human beings are social creatures and we suffer when we lack meaningful connection with others.