OpenVPN Connecting but No Internet Access on Arch Linux

 Here is an answer: AskUbuntu: OpenVPN Connecting but No Internet Access

On my system running Cinnamon with Network Manager, I followed these steps:

1. Open Network Settings.
2. Edit the settings for the specific VPN connection.
3. Under IPv4, scroll down and check the option "Use this connection only for resources on its network".
4. Under IPv6, scroll down and check the option "Use this connection only for resources on its network".
5. Click Apply.

This resolved the issue for me.