Have to agree with Flying Stone. The concept of a co-pilot landing the a/c single-handed from the RHS, stopping the a/c safely, applying the parking brake, and then adrenalin-hopping over to the LHS to taxi a large, long a/c for the first time ever at fairly high speed to the ramp area to save the pre-ordered steps-truck and ambulance a gallon of petrol strikes me as totally bonkers...
Far wiser to stay put, run the after-landing checklist carefully, and prepare the a/c for the arrival of the steps and paramedics. That would include starting the APU if available, shutting down the appropriate engine(s), and liaising with the emergency services by R/T and the senior cabin-crew member verbally.