[Metatron]

Pushbullet- https://www.pushbullet.com/

Share option on my phone lists the push near the top. Desktop notification through a Chrome extension gets them to my desktop.

Works the other way too.

So I can get texts, calendar events, links, pictures, everything to my Chrome. And then even reply to texts, or send links back to my phone from Chrome. Easy.

With the help of IFTTT I can even get smart notifications to both, like latest sales of interest to me.