You can track both your blog and Pinterest with Google Analytics. On Pinterest you get a Business account and then export your Pinterest Analytics data, and then import it to GA. That is the short answer.
If you want a better integration between GA and Pinterest, then you will need to hire someone go do it. I looked at Pinterest Developer site and you can do almost anything, but the real question is (as always) ROI. You know; what do you want to know and what's it worth to you!
If you are reasonable at GA, then you should be getting good data, which is synchronized with your web-site and blog fairly quickly. It can be a bit confusing and possibly not worth your time, so maybe you should hire someone to do it. Or, you could just use Pinterest Analytics.
I will expend on this answer if you wish, and best of luck