To be SIC on a jet requiring two pilots, the SIC doesn't need to have a type rating (UNDER FAA RULES). This is also a C-500SP without an SP qualified pilot. In anyway fly and have it signed of and it's legal also under CAA rules cause the have to exept legal flown hours. In this case an aircraft requires 2 pilots but under FAA only the PIC needs to be type rated. However you can't log this as being flown on a MPA (Multi pilot aircraft)
Cheers, PD