A set of .NET Framework managed libraries for developing graphical user interfaces.
If you are running an app in Linux it will be fine .net framework is cross-comp is great for running them.
You just have to download Mono or the .net run time to run apps. (WPF apps use Microsoft's DX to render the app, so you can't use that app on Linux or Mac)
Developing them however is a wildly hard idea. Winforms is sadly outdated, while MS is trying to update it, the legacy code really bad. You should look into migrating to
Avalonia UI. It's an Open Source, Cross-platform UI library like WinForms (that is an understatement). If you want to stay on WinForms however Mono supports in runtime and SDK. proof of concept for WinForms running in Linux using Mono
Really Avalonia replaces both WPF and WinForms.