The short version
People management is a career change disguised as a promotion: your output becomes other people's work, and the habits that made you a great individual contributor start working against you. The core skills, clarity, feedback, and delegation, are all learnable.
What actually changes
As an individual contributor, doing more made you better. As a manager, doing your team's work is failure in slow motion. The job becomes multiplying others: setting context, removing blockers, and making expectations so clear that good people can run without you.
Why feedback is the core skill
Most team problems are feedback debts: things a manager noticed and did not say for weeks. Small, specific, frequent observations beat the saved-up annual review every time, and praise given precisely is as instructive as criticism.
How to think about it
Delegate outcomes, not tasks, and match the leash to the person: more guidance for the new, more rope for the proven. Your calendar is the honest record of your priorities; if one-on-ones are the first thing you cancel, your team already knows.