Graphene consists of several essential parts, which are focused on simplification of Selenium usage:
GrapheneSelenium class is type-safe equivalent of Selenium class in Selenium 1.x,
Graphene utility contains static methods which serves as simplification of common tasks targetting readability and rapid development,
GrapheneConfiguration is base for configuration options of framework,
Thread-local context of GrapheneSelenium and GrapheneConfiguration are factories which holds instances tied to current test.
At this point it is strongly appropriate to inspect Selenium API 1.x from available tutorials.