One easy thing you can do to learn about your company, other peers and their jobs, and be an overall good team player is to offer to sit in on meetings.
Whenever someone gives you a kudos or compliment on something you do in your project and it can help them in their project, offer to give your “2 cents” anytime they need it. You will be taken up on that more often than you know.
This will add to your overall knowledge of your company, bring you closer to your teammate in understand what they do, and perhaps open up other opportunities that will assist you with your project.