I think that sounds pretty good.
It seems to take no more than a couple of weeks to get your provisional back (I think mine was less than one). To speed things up, I dropped all of the paperwork off at the nearest DVLA, and included a special delivery envelope for the return of my passport. You can get those for about 5 pounds at the post office.
I think I studied over the period of a couple of weeks for the theory, mostly practicing the hazard perception. I used the CD rom mostly, and bought the Highway Code, but certainly didn't read it word for word.
Not sure if you are doing the manual test or not, and if you already know how to drive one. I only had a basic knowledge, and had major confidence issues, but I managed to pass my test on the first try after 10 hours of lessons (and lots of extra practice with my husband) over a 2 week intensive period, but it did take a huge time/concentration commitment.
After your first lesson, your instructor should be able to tell you where you are, and how long it should take.