You can! Lots of new authors and writers will post ads all over the internet looking for readers to proofread, read over, or critique their writing. Many authors will also pay you to buy and review their books on Amazon and other buying sites. You can find jobs like this on Fiverr, Upwork, and Freelancer. People will also post ads on classified ad spaces like Craigslist and Kijiji looking for reviewers.
Finally, sites like onlinebookclub.org will pay you to review books. You can get paid up to fifty dollars for these reviews - however, this means that you will have to spend more time reviewing the book, typing an over one hundred word book review. These sites will usually send you the book for free and/or cover the cost.