The presentation by Daryll Castelino covers cookies and log files, detailing cookies' roles in storing data for user customization and browsing enhancement while addressing privacy concerns, types, and limitations. It distinguishes between session and persistent cookies, first-party and third-party cookies, and outlines their uses in e-commerce and user preferences. Log files, on the other hand, record events on servers, help diagnose issues, and maintain audit trails, while being more concise than cookies.