Q. I did a database search and found an article, but I'm not sure how to access the full text.
A: Starting from your search results, click on the title of the article you want:
Do you see where it says “Full text links?” Go ahead and click on the 
Now do you see where it says “View Online” → “Full text availability” → [proper name]? Click on the blue hypertext link, which should be the journal or publisher name (e.g., “Highwire Press European Respiratory Society.”) This should take you to the article.
If you want to access articles with fewer steps, consider downloading Libkey, a browser extension that simplifies the process. Read more about it (and find links to download the extension) here.