Just because you are doing exceptionally in your current job doesn't mean you are ready to take on a managerial position. It also does not mean that your career path is only in the individual contributor career track. You won't really know if you are a good people manager, unless you really start managing a team, but if you have the following traits, that's a great start.
Maybe you've been a great individual contributor, and your stellar performance has made management realize your potential and promote you. Or, you just cracked the interview so well, your new employer was willing to take the risk of hiring you as a manager, even though you've not had any people management experience. Either way, you do want to excel in your new role. Here's how.