As you have never done anything like this, it is probably best to play it by ear. The main factor is going to be how quickly you recover from the first half marathon. Effort, training, injury and weather will impact on this.
Early week 1, I would do a few slow recovery runs, and then depending on how you are feeling then build up some intensity / mileage afterwards.
I have done this sort of thing this year when I ran my first and second HM races with 2 weeks in between, Towards the end of week 1 I did a short tempo run, and then a long slow run of about 14 miles at the weekend. The following week was mainly easy runs, with another tempo session to liven things up.
As has been said, Tapering for a half is not for everyone (including me). Let the recovery guide you. Some will recover in a day or two, others in a week or longer.
Edited: 14/08/2012 at 13:05