You can listen to Google Play Music via the browser in Windows 10 but nothing beats a dedicated app. Google don’t make Windows 10 apps but there are 3rd party apps available. A new app I have come across is GPMDP a free app from the Windows Store, it looks like a desktop bridge app and builds on the web based player.
You sign in to the app and then you have access the Google Music library. It supports desktop notifications, custom actions, lyrics, a system tray menu, custom styles and casting to Chromecast receivers. I have been playing with the app today and it works very well, it’s nice to have a dedicated app rather than just the browser.
The app is free from the Windows Store.
GPMDP is a beautiful cross-platform desktop application that provides integration with Google Play Music
It includes features such as:
Global media hotkey
Custom theme option
A companion remote control app
Custom action hotkeys
Audio output device selector