Final answer:
Brian Epstein's first task as The Beatles' manager was to secure them a recording contract with EMI Records' subsidiary Parlophone Records.
Step-by-step explanation:
The first task that Brian Epstein undertook as The Beatles' manager was to secure them a recording contract. At the time, the band was playing gigs in Liverpool, and Epstein was determined to get them signed to a record label. He reached out to various music industry contacts and ultimately secured a meeting with George Martin, a producer at EMI Records. Martin was impressed with the band and soon after, The Beatles signed a recording contract with EMI subsidiary Parlophone Records.