Mule ESB is a lightweight Java-based integration platform that allows developers to connect applications together through integration patterns like flow-based programming. It provides functionality for service creation and hosting, message routing, data transformation, and mediation between different technologies. Mule ESB uses a visual drag-and-drop interface called Mule Studio for low-code development of integration flows and assets. Key components include endpoints to connect to external systems, transformations to modify message formats, filters to route messages conditionally, and routers to control message flow. Mule applications are deployed to a Mule runtime server for execution.