The good news is: you're going to see Hamilton!
Because the material comes at you so fast and furiously, I would say listening to the album would increase your comprehension, BUT...
All of us who have seen it already (some several times!) have experienced the wonderful rush of entering that world and being immersed in it, lost and at its mercy, and coming to know the story, the characters and the point-of-view for the first time. That in itself is a wonderful experience and more than one of my friends has remarked that they feel a certain sudden sadness at intermission because, in the words of one, "I'll never see Hamilton for the first time ever again."
Whichever way to see it you choose, you'll be experiencing one of the greatest shows of your life. ENJOY!.