Once you take into account fuel + maintenance + aircraft depreciation (and smaller costs such as ATS and flight crew), the cost of operating a G450/500/550 is usually in the $5000-$6000 per flight hour. This cost can depend on a number of factors such as operating climate (sand and heat are not good for jet engines), and whether or not the aircraft/engines are under warranty or maintenance agreements. In Pakistan, it wouldn't surprise me if the cost per flight hour exceeded $7000 for the G450.
https://www.conklindd.com/CDALibrary/ACCostSummary.aspx
Having said that, the transportation of VIPs is within the remit of most airforces around the world, and vile creatures they may be, I do not see why this should be any different for govt officials and state representatives in Pakistan.
It would be better to sucker up the costs for vip flights than have to pay for a general election if a politician's motorcade was blown up.