Is there anyway I can get google play store downloaded on tablet to lay game.

That is the thing, to use any, and I mean any Google app on Android you must have Google Play Services install.There are a variety of Google Play Services that you could download and install, but since your device is not an known brand to the Google Play Services, you need to download each version and try it, until you get the right one.
If you go to the link, you'll notice that it says "All Versions". When you read the version number, the last three numbers is the code to the device it is compatible with; example: the version that ends in 438, this version is compatible with Nexus 5.
Here is the link to download Google Play Services. Make sure that Unknown Sources is enable within Settings>Security.

http://www.apkmirror.com/apk/google-inc/google-play-services/