What is a Google Educator Group?
"Google believes that the best inspiration to educators are other educators. It is for this reason that Google helped start a community of passionate educators, who bring the benefits of technology to schools, classrooms, and communities across the world.
GEGs provide a platform for educators to collaborate with one another, allowing them to pick up new creative ideas from one another, and to help each other best meet the needs of their students with Google solutions. GEG activities take place both online and offline. Online GEGs provide a space for educators to discuss together and learn about one another through Google+; offline, locally run events and workshops are a way to learn and share face to face.
Anyone is very welcome to join GEG. You may be a principal, a school administrator, a professor, a student, or just someone interested in using Google products to help people learn. Each group is organized by a local volunteer (GEG leader) and is entirely independent from Google, the corporation." (source)