Three books to get you started:
1). The Law by Frederic Bastiat
(Then read everything he wrote that you can get your hands on.)
2). Our Enemy the State by Albert J. Nock
3). The Road To Serfdom by F.A. Hayek
For enjoyment read Ayn Rand’s novels, especially The Fountainhead and Atlas Shrugged. Rand never called herself a libertarian (for that matter Hayek eschewed the term as well), but her philosophy of Objectivism has been the starting point for many libertarians, myself included.
I hope you’ll read some of these and let me know what you think!
Here’s The Law online:
https://books.google.com/books/about/The_Law.html?id=DZKE3-pV1AYC