I think a lot depends on HOW new? When I was first diagnosed in June, 2012, my excellent PCP put me on Metformin. The advice I was given was that, because many people have problems tolerating Metformin, I should start with 500mg for a bit, then increase the dose slowly. He also had me return in 2-3 weeks to see how I was doing. In my case, I never got past 1000mg when my PCP decided that the results were not satisfactory-enough, so he added an additional medication.
My A1c was 11.8 at diagnosis. On oral medications and some diet changes and regular exercise, my A1c after three months was 6.5. I did, however, have intolerable side-effects from the medications, so I changed to taking only insulin after four months - at which point, I was also referred to an endocrinologist.. For me, that was the best option, but everyone is different. There are many that believe that insulin should be used at the start, including the Joslin Institute,, at least to get things into range. Others believe that the standard practice of medications is better -- and, perhaps, it is easier for many people.
To answer your original question: It is not unusual for people with Type 2 diabetes to have their care managed entirely by their PCP. I certainly don't have enough information on your doctor, situation, or case (though an A1c of 13 is quite high!), to tell you whether your PCP is knowledgeable-enough for you. Aside from your A1c, what was your fasting blood glucose? Your random tests? Have you been instructed to test your blood glucose? How often?
Sorry for more questions than answers. With diabetes, it seems there always are.
Oh - welcome to the club no one asks to join. Aside from my ramblings, you'll find a lot of resources and much smarter people than me here that can help you on your journey.