The Notion Video Embed plugin allows users to embed video content from Notion into their Obsidian notes using the Notion API. By entering the integration secrets in the plugin's settings and providing a specific block ID, users can fetch and display video content directly within their notes. This feature streamlines the process of accessing and integrating Notion-stored media into Obsidian, enhancing note-taking and organization. The plugin requires users to share the relevant Notion page or its parent with the created integration to fetch the content successfully.