To get started with ArcGIS GeoEvent Server, review and work through the following resources:
The quick start guide provides an overview of the key concepts when getting started with GeoEvent Server. The introduction tutorial provides a more in-depth, step-by-step set of instructions, that introduce key concepts and capabilities, including working with ArcGIS GeoEvent Manager, creating input connectors and output connectors, creating and publishing GeoEvent Services, and incorporating various filters and processors in your real-time analysis workflows.
Additional tutorials are also available at GeoEvent Server tutorials.