"... If you work on a PC throughout the day, you may not have time to look at your phone all the time. Or, you may not be allowed to use your phone at all while you are working.
"Desktop Notifications is an application for Android that you use in conjunction with a Mozilla Firefox add-on or Google Chrome extension. It uses the browser's desktop notification feature to display all notifications that you receive on your phone on the desktop.
"While you cannot react to it in any way, it at least lets you know about notifications so that you either know that nothing of importance has happened in the meantime or that you have received a notification that you need to react on. ..."
Source: Ghacks Technology Newsletter
Details Display Android notifications on the desktop