You don't need two NICs for this. What you do need is to configure a route to your local network after bringing up the tunnel. Note that some VPN software (not sure about GlobalProtect) will detect this type of trickery and prevent it or disconnect.
You may want to talk to your GlobalProtect administrator about setting up split tunneling for your purposes.
In order to attempt to set up the split tunneling from your end, you can try to use the route
command in Windows to add a route that would override the default route that is installed by GlobalProtect. However, exactly how that would be accomplished, and indeed if it can be accomplished will depend on whether GlobalProtect will do anything to stop you from doing this.
As an example, if your machine is on the local 192.0.2.0/24 subnet, with an IP address of 192.0.2.10, and the machine you're trying to reach is 192.0.2.20, you can add the following command on the command line:
route add 192.0.2.20 192.0.2.10
When looking in "route print" you should see an entry like this:
IPv4 Route Table
===========================================================================
Active Routes:
Network Destination Netmask Gateway Interface Metric
....
192.0.2.20 255.255.255.255 On-link 192.0.2.10 306
If the network you are trying to reach is on a different subnet, instead enter the gateway address of your network as the last argument to the route command.
You will probably need to execute this after bringing up the GlobalProtect tunnel.