She will need a written permission form the sponsor (you, if it's for your wife?)

Apply to the Driving Licence Section at Madinat Khalifa traffic department, which is open 6am-8pm from Suanday to thursday.
Fill in the application form, which must be signed and stamped by your sponsor. This form is in arabic, but for a small fee, the offices outside the front gate will complete the process for you. Three passport size photos, your QID and your soponsor's ID, plus photocopies of these, must accompany the application.
An eye test will also be given. Once approval is granted (NO IDEA HOW LONG IT TAKES?), register at an authorised driving school (offices are inside the traffic Dept compound) for a mandatory course of driving lessons.

A full course (50 hours)cost arond 1,500QR, but if you can drive, the school will assess you and may offer you a 12day course at QR550

Besides practical driving skills, the schools teach driving theory and basic car maintenance. They undertake the testing on a purpose-built off-road test site, as well as out on the road. Each driving tests costs QR50, plus QR60 for use of the driving school's car. The maximum is three attemts for each full course of lessons. Once you pass the test, the traffict Dept issues a full licence at QR155 for five years.