The Developer Contest is an invitation for developers to build a Twilio and Salesforce integration, aiming to create a CRM tool that leverages voice, SMS, and VoIP capabilities. The contest encourages creativity and problem-solving, with the goal of improving the top CRM tool by incorporating these communication technologies. Participants can submit their projects via a specific form and have the opportunity to win prizes, including a Kindle Fire and a limited edition Twilio Merit Badge.