Much of the 'magic' in, Harry Potter and the Cursed Child, is the staging. It is simply brilliant and I believe will keep you captivated throughout the very short 5+ hours. I read the script, but only after seeing the play. Online, many fans who've read the script before, or without seeing a performance, have been disappointed. If you are very comfortable reading plays and can visualize the impact and focus that great direction can offer, than reading the play is an option, but still won't offer you the history of the many characters and outcomes from past situation that the play references. I support reading as many of the books as you can between now and April as they are all excellent reads only getting better as the series moves on. If that is not possible - reading or listening - than the movies will give you mostly what you'll need to understand the play's references.
Either way, and even if you go in 'blind', I believe if you have an open mind, not particular uncomfortable not understanding everything, you'll still be moved by a production that is just wonderful. I loved Harry Potter and the Cursed Child and look forward to seeing it again on Broadway.
ARTc3 formerly ARTc. Actually been a poster since 2004. My name isn't Art. Drop the "3" and say the signature and you'll understand.