The Airflow user interface provides various views to understand, monitor, and troubleshoot data pipelines, including the DAGs view, Graph view, Grid view, Calendar view, and Browse tab, which offer insights into task instances, dependencies, and run status in real-time. The DAGs view shows a list of all DAGs with recent run status and metadata, while the Graph view visualizes tasks and dependencies for a specific DAG run. The Grid view displays previous runs and task instance outcomes, and the Calendar view shows DAG run states on a calendar. The Browse tab offers additional views, including Task Instances and DAG Dependencies, allowing users to make changes in bulk. These views have undergone significant updates with recent Airflow releases, making it easier to manage and troubleshoot data pipelines.