Check out the giveaway section on goodreads too.
If you start to enjoy reviewing books and discussing them with others your next step is to start your own blogg (which you can do for free).
Netgalley is a website dedicated to finding reviews for books. They ideally want you to have your own blog and grow your empire of followers.
Amazon Kindle has free books on them. Sometimes books are free for a short while. There is also Kindle Unlimited which if you read as much as me you will definitely get your moneys worth. I have found quite a few good books this way.
Once you have started reviewing books you will find some Authors/ Publishers will start sending you books to review. It is always nice to connect with an Author especially if you become a fan of their work.
Signing up to Authors mailing list will also give you opportunities. Including ARC, advanced reading copies of books for reviews.
The next book on my reading list is Marry your Billionaire By C. J Anaya. The Author was good enough to send me a Link for a chance to win this book for free to review...
Hope this helps. Good luck :)