Check this Vagrant keeps creating unwanted network interfaces
In short
Vagrant always uses NAT (VirtualBox NAT networking mode), which allow you to vagrant ssh
into the box (port forwarding rules - host 2222 <=> guest 22).
So in your case, you'll end up having 2 NICs, eth0 for NAT and eth1 for Bridged (Public Network in Vagrant term).
It's just by design :-D