I just received this organizational chart outlining the Public healthcare plan. It is provided by a Republican congressman, and has a bias tone to it, but it factually represents the governmental plan as proposed.
I also want to mention that if I were critiquing the current plan, it would be less complicated, but have some different, and sometimes very unfair, obstacles. You must remember that while private insurance will be grandfathered, it will not be available to most going forward, most private carriers will most likely fold or be non-competitive, and you will lose your ability to make decisions without a governmental approval in this system.