On macOS, if you have two name servers, the first one is used until there is an error. Then the second one is used until there is an error, then the third one is used, and so on. Windows used to do it differently: it would query all the name servers and use the result from the first one to respond, so having multiple name servers would sometimes result in faster Internet accesses. I don't know if that is still true
If your VPN is providing a DNS address, it is almost always advisable to use that address, and not silently start using a different one.
If you wish to specify a specific DNS which should be used (e.g. your own DNS server, Google DNS or similar), and you manually enter that address in your macOS network settings. By default Tunnelblick will respect that and not modify the name server list. There's a checkbox to allow Tunnelblick to override that and use the VPN-provided name server list.