As a CSM's driver, will I also be obligated to pull duty such as CQ or Staff Duty?

That will be up to the CSM.

It depends on your command team. When I was a command group driver I pulled both CQ and Staff Duty. It was not very often but I did still pull duty.

Good Morning CPL (Join to see)
I am a CSM driver my self for the last 9 months and let me tell you that I have never pulled a single day of Staff Duty since we work under the same schedule as the CSM. Is a Great Opportunity Career Wise! On the other hand if you do have a Spouse and kids just know that some times you will be gone on TDY for 2-4 days . Who knows you might end up going TDY back to back on the same week . If your not on TDY you will be most likely in the Office either on Standby or Working on DTS for Future TDYs. If you do a a great job and keep up w your PT a lot of times the CSM could recommend to SCHOOLS ! If you have any Questions LMK!