Under JAA or now EASA to fly a bizjet you need to have a type rating or the mini requirement to have the TR endorsed on your license are:
CPL/IR + Theoretical ATPL + MCC + valid IR
You cannot do a TR with a PPL at least in EASA system.
About FAA quite not sure as the SIC endorsement is very "strange", but for PIC definitevely an ATP is a must.
And by the way, if you fly PPL you will be able to fly only for yourself, ie without reward and eventually share the costs with the other on board...
