There are several ways to determine whether or not an article is a scholarly, peer reviewed or refereed. If you found the article in a library database, there are indicators that point to scholarly. However, if you want to verify that the article's journal is peer reviewed, then here are two ways to find out.
This image shows an indicator that the article is scholarly, but you will have to check if the journal it is in is peer reviewed or not.
You might find that the journal name is a hyperlink, which leads to a web page about the journal.
Look up the journal name in the library database, Ulrichsweb.com Search for the journal title and find the correct entry in the results list. Look for a referee shirt icon that represents peer reviewed or refereed articles.
The publisher's website for the journal should indicate whether articles go through a peer review process on the instructions for authors page.
Note that an article can be from a peer reviewed journal and not actually be peer reviewed. Editorials, news items, and book reviews do not go through the same review process.