Cypress accessibility testing involves automating the process of making websites and applications accessible to everyone, including those with disabilities, by ensuring compliance with guidelines like WCAG 2.1. Accessibility testing is crucial from both a legal and ethical standpoint, as it prevents discrimination against individuals who may otherwise be unable to access digital content. The Cypress automation framework simplifies this process by integrating tools like Pa11y and Axe-Core, which can automate checks for accessibility issues such as color contrast and keyboard navigation. By leveraging Cypress on cloud platforms like LambdaTest, testers can efficiently conduct cross-browser testing, improve test coverage, and ensure applications meet accessibility standards. The tutorial highlights the importance of incorporating accessibility into quality assurance practices to ensure inclusivity and promote a seamless user experience for all.