Can I download google play store to my pc desktop

Well I disagree with that Answer, Yes you can in fact install Google play on your computer desktop.

You can either go to https://play.google.com right click on the page and save a shortcut to your desktop so you can access it faster. From your computer you can search and install games that will automatically install on your registered device once logged into google play with your gmail acccount.

Or if your computer has a decent processor, download and install http://www.bluestacks.com/download.html Blue stacks is an Android Emulator and works great with windows. I use it to play clash of clans and other games on my phone or tablet.

Apps from Google Play can't be installed on computers, including Chromebooks. Try visiting the recommended app store for your device instead: Error You haven accessed the Google Play Store app on your device with...