I am not sure, but it seems that sudo is not installed by default on Arch Linux and your user gwen is not in the sudoers group.
You could try:
1. Exit WSL completely
2. Open Windows Command Prompt and run: `wsl -u root`
3. This will log you back as root
4. Then run bash
pacman -S sudo
usermod -aG wheel gwen
5. Exit and restart WSL, after that I Hope gwen should be able to use sudo
Alternative: you could also set a root password with `passwd` while you are root.