Well my other comement saying this is exactly what i need did not get posted as a reply to your comment, my mistake.

What the line I listed will do will let a specific user have permission to use sudo without a password to run wg as root without a password. So they (and not other users) can type:

$ sudo wg

And the command will run as the root user, without them being prompted to enter a password.

It doesn’t mean that when that user runs:

$ wg

In their shell, what will actually run is:

$ sudo wg

If you also want to avoid typing the extra characters, you can set up an alias in your shell.

I don’t know what shell you’re using, but most Linux systems use bash as a default:

 $ ps
    PID TTY          TIME CMD
1413558 pts/3    00:00:00 bash
1413640 pts/3    00:00:00 ps
$

If you’re using bash, you can tell your current bash shell invocation to do that with the alias command:

$ wg
Unable to access interface wg0: Operation not permitted
$ alias wg='sudo wg'
$ wg
interface: wg0...

If you want that command run in every bash shell you invoke, you can do so by editing ~/.bashrc and adding the line:

alias wg='sudo wg'