Google Maps Engine is a cloud based application. You must upload your data to GME in order to make use of it. The link you reference is for oAuth - an authentication mechanism to provide access to GME maps requiring a user account. An installed application is, for example, a Windows app that uses the Maps Engine API. If you can get over your cloud issue, you could use the Maps Engine API to write a connector from mySQL to Maps Engine relatively easily
In your situation you should probably look at geoserver.