Apollo Server 2.0 introduces several features to improve error handling in GraphQL applications, including the ability to add error codes to the response, automatic re-authentication, and improved handling of user-level errors. The new feature allows developers to throw specific error types, such as AuthenticationError or UserInputError, which can be caught by clients and handled accordingly. This approach enables more robust error handling and improves the overall user experience. By using Apollo Server 2.0, developers can create GraphQL applications that are better equipped to handle errors in a systematic and organized way, making it easier to build scalable and reliable systems.