I don't know how to add a widget to my home screen
When I right click, it doesn't say add widget. It also won't let me drag
MacBook Air 15″, macOS 13.5
Question marked as
Widgets on a Mac desktop are a new option with Sonoma and are not available with macOS 13.5 shown in your post.
For information on adding widgets to the desktop on a Mac, see the following from: Use widgets on your Mac desktop - Apple Support
Starting with macOS Sonoma, you can personalize your desktop with widgets, interact with them with just a click, and even use widgets from your iPhone.