Going to assume its the 3.0 tfsi FY model and not the previous model
I purchased mine pretty much bang on the mileage as yours and sold it 1000 miles later but not due to anything being wrong.
I had all the history and up to the point of the 34500 miles, there had not been any major warranty work.
There has been a number of recalls including rust underneath the car which was most recent. (51G5)
Other recalls included 64F6 - communication between front/rear door control units
66K8 - wheel arch coming off
Following purchase (the same day!) I noticed my air con was not working. It turned out to be a leak in the condenser due to a stone hitting it. It was fixed under warranty but could have cost me circa £900 had it not been under warranty so do check this.
It's a bit of a mind trick because when you start the car, the air con is on and then after a few mins it goes to off. Apparently the stone hitting it is fairly common in Q5/SQ5s.
I also had an annoying clunk on the brake pedal when letting go. This was a known issue and fixed under warranty as part of a TPI from Audi. (Brake/Servo)
Final issue was a slight rattle in the back and that was fixed with some felt tape where the boot roller / parcelshelf cover thing sat.
So all in all, nothing major.
Do you have warranty with it from Audi or...?
These eat through brakes so check condition of brakes/discs along with tyres and the usual wear and tear items.
Also mine didn't come with the plastic 10 digit key for the MMI which enables the remote locking/unlocking and a few other bits - make sure thats there otherwise its around £80 to get replaced.
Spec-wise, I had on top of the standard SQ5 generous spec, matrix led lights, advanced interior light pack, hill hold, traffic sign, virtual cockpit, folding mirrors, flat bottom steering wheel, rear view cam and audi-beam.
Think that was it!
