The Twilio Developer Contest aims to encourage developers to try the platform for various use cases, industries, and integrations. The contest is language-agnostic and invites submissions from all backgrounds to solve problems with Twilio. To get involved, developers can submit their projects by May 15th and receive a chance to win an Amazon Kindle 3G, $100 in Twilio credit, and other rewards. The contest is part of Twilio's efforts to reward successful developer endeavors and provide resources for improvement through its documentation, forums, and community hub.