Within your installation directory you will find a folder called Documentation. This contains PDF's that cover the software's many features in considerable detail. You will also find online versions of this documentation at http://docs.pixologic.com. For ZBrushCore users, it is important to keep in mind that all features found in ZBrushCore are also found in ZBrush. Therefore the ZBrush documentation applies to you as well. Simply ignore any features referenced in that documentation that are not present in ZBrushCore.
In addition to the documentation you will also find a library of free video tutorials in the ZClassroom. We recommend going first to the Courses section and then clicking the Getting Started category for either ZBrush or ZBrushCore.