The presentation by Barbara Bermes at the Velocity Conference focuses on the impact of third-party scripts on web performance, detailing issues such as performance hits, single points of failure, and privacy concerns. It emphasizes strategies for mitigating negative effects, such as using async loading and monitoring third-party content, as well as best practices for publishers and developers. Bermes also highlights the importance of evaluating the necessity and performance of third-party scripts in collaboration with marketing and sales teams.