Beginning April 21 2015, it will only display sites that are mobile friendly when searches are performed on mobile devices !!!
This means, if you have a website and have not prepared a mobile version of it, then your site will most likely not be listed on mobile phone or tablet searches.
Announcements of this change are only beginning to circulate, so many are not aware if this major change. To borrow a phrase from Dancing with the Stars:
Are you in Jeopardy?
If you receive an "Awsome! This page is mobile-friendly" banner, then you are all set.
But, if you get a "Not mobile-friendly" banner, you have work to do.
So what should you do now? First, test you generic webpage url and get that in order. Second, begin checking important pages within your site to make sure that they will appear. This will be a lot of work for most website owners but it needs to be done.
You can learn more by visiting these resources.
- Google's Mobile-Friendly Websites - Get Started Guide
- How to prep, in 7 steps, for Google's mobile search change
Best of luck - it sounds like it will be a long summer.