Is this a biplane? Not really. A biplane has two sets of wings, not two fuselages.
This is known as White Knight and is the plane that will be used to launch a rocket-plane into space. The passengers will then spend some time experiencing weightlessness before gliding back to the ground, hopefully from the same place that they started.
But this isn’t free. It is a commercial enterprise for paying passengers, and the cost of a ticket is very high. In fact it is so high that only the very wealthy will be able to afford it.
I wonder how much of the earth’s resources will get used by this project?