Web servers and browsers have security vulnerabilities that can allow attackers to compromise systems. A simple Java-based web server has vulnerabilities like denial of service attacks if it does not properly handle requests. Attackers can also exploit vulnerabilities in web applications, servers, or browsers like directory traversal, script permissions, and default files and samples to steal or modify data or deny access. It is important to secure web servers and applications by applying patches, limiting privileges and permissions, removing unnecessary files and services, and using security products.