What operating system are you on? And does your VPN perhaps require use of a proxy? What kind of VPN? Some VPN clients do a lot more than just creating the tunnel, but apply access rules.
Just in case someone else lands here: we’re using Cisco Anyconnect on Windows for connecting to the vpn and there is a known bug that when connected you’re unable to browse pages on your own pc any more. The solution is to disable IPV6 on the network adapter properties and then everything works.