The GitHub profile page website allows users to search for any GitHub user's profile by entering their username. When a username is submitted, the website fetches the user's data and repositories using the GitHub API. The website then displays the user's profile information, including their avatar, name, bio, follower count, and repository list. The website handles potential errors gracefully, such as when a user is not found. The clean, simple design provides an efficient way for users to explore GitHub profiles and view user-specific data.