From a long term perspective, there are some drawbacks in targeting an A1c in that range.
I am in my 26th year as a type 1. I always had A1c in the low to mid 6's. About 20 years into it, I lost the symptoms of low blood sugar. I would be functioning fine, then all of a sudden have a blackout period and find myself in another room, often with sugar packets and juice nearby. It was definitely unnerving. It got even more tough when I had a severe low one night that led to a siezure, my wife had to call 911 and I was taken out in an ambulance. Not the most fun evening.
After that, I got on a trial for the Freestyle Navigator, which saved me many times from not recognizing lows. Later on when they pulled out of the US market I got the Seven+ and finally the G4.
Sorry for the long post, summary points on this question (and were mentioned by others as well)
1. Targeting a low A1c may not be good, in fact I would seriously think about it and talk to your endo about it. Long term you will lose your symptoms of lows, and along the way you will have a lot of lows.
2. Dexcom and CGM's will help if you do decide to target a low A1c - the biggest way they will do that is to save you from lows by alarming early and letting you know. You can also learn a lot of other things as well - how fast does Novolog or other pump insulin hit you, better calcuation of insulin to carb ratios, better pump programming in segments.
I hope this helps. Avoid the seizure if possible, I have had it twice now and would not wish it on anyone.