Got the CPL/IR then was lucky enough to start very shortly afterwards on a medium twinjet. Process was the type rating and some company indoc courses. Once passed the final check in the sim, the CAA applied the rating to my licence. Then followed line training - 40 sectors on passenger-carrying flights. The first 6 sectors had a safety pilot in the jumpseat. The next 34 were just me and the training captain. Line check after the 40 sectors and now flying with regular line captains.
Think this is the standard way of doing things, at least here in the UK.