There are two basic ways to find out if a journal contains articles that are peer reviewed:
1) Google the name of the journal to get to the publisher's webpage. Look for a section on the page "about this journal". If it is a peer-reviewed publication, it will proudly advertise itself as such.
2) There is also a library database that supplies this information called "Ulrich's." Use this link to get there. Alternatively, you can access it on the library's website by navigating to "Databases" on the homepage > A-Z Database List > "U" tab and then scroll down to find "ulrichsweb.com (Ulrich's Periodicals Directory)."
Something to think about: A journal can be peer-reviewed and still contain individual articles that are NOT peer-reviewed. For example, editorials and book reviews are pieces that are not peer-reviewed.