Well, I think there is not much to tell about this castle. If you are willing to visit Germany and ask me where to go first, probably I would say Neuschwanstein Castle.
I would recommend you either rent a car or take a train from Munich to go there. The castle is spectacular in every season of the year. I was there in winter. Although it was very cold, it was still amazing.
Beside visiting the castle, you should for sure visit Alpsee, a lake behind the castle which is very beautiful. I also recommend you to take a walk in beautiful Füssen town. If you have any question, just leave a comment!