A quick and easy way to verify that your journal is Peer Reviewed aka refereed is by using Ulrichsweb Global Serials Directory. Ulrichsweb is a database that provides information on all types of serials (journals, magazines, newspapers, etc.) By searching the name of your periodical (journal title) you should receive a list of journal titles including the title you typed in. Check the legend on the right side of the screen for the Refereed symbol (the little referees striped jersey).
Please note that Ulrichsweb only provides bibliographic information, and will not lead you to the full text of any articles.