Yup.

All u have 2 do is get a copy of his passport along wit a copy of ur passport and den fill up a form tht is available at the immigration counter rite next 2 Doha Airport which is infact open 24hours (but, best time 2 visit and do all dis; wud b n de morning b/w 8:00 & 12:00). Produce des documents at the counter & de person behind de glass wud tell u 2 get de form signed by 3-star officer who wud b sitting inside (Ask anyone der). De first time u wud get it doen 4 14days after which u can again extent it 4 another 14days & den 28days, after which he has 2 exit de country. Der r fees 4 de above service (110/- Qar or so...). Gud luck.