BlueMix is an IBM platform as a service (PaaS) that allows developers to run applications in the cloud without managing infrastructure. It abstracts away complexities like installing runtimes, libraries, services, and handling high availability and scaling. Developers can focus on code while BlueMix handles availability, security updates, and scaling across environments. The document provides an overview of BlueMix capabilities like supported runtimes, services, the command line interface, and logging and scaling applications.