The Copy Section plugin enhances document organization in Obsidian by adding a convenient copy button to header lines. Users can quickly copy entire sections of content, up to the next header of the same or any level, with the option to include or exclude comments and tags. The plugin provides flexibility by allowing users to select which header levels display the copy button and whether sub-sections should be copied as well. It simplifies content management and sharing by ensuring that section data is copied in raw markdown format, maintaining formatting consistency across documents.