In the tutorial on navigating the Business Center user interface, the instructor begins by pointing out the quick access toolbar at the top of the screen, followed by the ribbon tabs containing various commands. Below these, on the left side, is the Project Explorer, which will list features and objects within a project. The main section is the start page, where the plan view and most operations will take place. To the right, there's a panel for notifications, news, and tips. The instructor then demonstrates how to customize the interface for easier navigation, such as enlarging icons for better visibility on high-resolution screens and adjusting the toolbar's position. Additionally, the View Filter Manager and Properties panels are introduced, which can be toggled on for more functionality and can be docked or floated around the workspace for user preference. The instructor emphasizes that these features will be explored in more detail in future sessions.