Can I update my iMac macOS from Ventura to Sonoma to run Logic Pro?

From what I’m seeing, your Mac is compatible with macOS Sonoma.

Before installing new software, it's a good idea to back up your Mac.

How to update

1. Open Software Update. You can use Spotlight in the menu bar to search for "Software Update," then open it from the search results. Or open it from settings:

• • From the Apple menu  in the corner of your screen, choose System Settings. Click General in the sidebar of the window that opens, then click Software Update on the right.
  • In earlier versions of macOS, choose Apple menu  > System Preferences, then click Software Update.

1. When opened, Software Update automatically begins checking for new software. 

• • If new software is available for your Mac, click the button to Update or Upgrade. What's the difference?
  • If new software is not available for your Mac, Software Update says that your Mac is up to date. Software Update shows only software that is compatible with your Mac model. For example, if your Mac is not compatible with a later version of macOS, Software Update does not offer it to you. Which Mac models are compatible?

1. Before installation begins, you are asked to enter your administrator password. It's the password you use to log in to your Mac. Forgot your password?
2. During installation, your Mac might restart and show a progress bar or blank screen several times. Learn what to do if installation isn't successful.

What is the exact year model of your iMac...?

see > Identify your iMac model - Apple Support