The site CrushGram uses Twilio's SMS API to send text messages, integrating it into various parts of the application such as sending crush notifications and allowing users to anonymously message friends without it being romantic. The development process took approximately one night with the help of technologies like LAMP stack, JQuery, and Facebook Likes, Super Rewards for offers, and PayPal. CrushGram aims to innovate in social relationships and text messaging by utilizing Twilio's API to achieve real-time communication and a more personal experience.