To get started with CartoDB's native mobile SDK, developers need to register an account at developer.nutiteq.com, which requires re-registering on cartodb.com as well. The process involves selecting a package, developing the app, sharing it, and publishing it to the app store or sharing privately within an enterprise. The development process includes accessing resources such as guides, code samples, sample projects, and support channels like StackOverflow and public forums. The guidelines for the Nutiteq Maps SDK are currently available on developer.nutiteq.com and will soon be included in CartoDB's developer documentation.