Ulrich's is a directory of journals that includes information such as refereed status (Peer-Reviewed), title history, publisher, and subject classification. Once you are in Ulrich's, search the title of the journal, not the title of the article you are reading.
Once the results appear, look for the referee shirt symbol 
. This indicates that the journal is a refereed title or peer-reviewed.
Please keep in mind that not all articles published in an academic journal are peer-reviewed. This status may depend on the section of the journal and whether or not it is original research. It is always a good idea to go to the publication's website to confirm.