The library may have a subscription to the journal you need, but unless you access it through the library, you'll hit a paywall. There are a few things you can try to access the article through the library.
First: search for the journal through the library’s website. In the Discover search bar, click the dropdown menu and select Journals, as seen in the photo below.
In the search box, type in the name the journal (NOT THE NAME OF THE ARTICLE!) that published the article. If online access is available, you will see an "Online access" link just under the title of the journal. Here's an example:
Click "Online access" to view all the databases with that journal available.
Select one of these databases to visit, then browse by the journal's issue or volume to find the article.
You may also wish to try searching through the Citation Linker. The Citation Linker works best with DOIs, ISSNs, or journal names.
Of course, the library might not subscribe to the journal you need, or it might not be immediately available. If you can't access the article using the steps listed above, simply request the article through Interlibrary Loan (ILL) for free.