I would recommend studying and learning as much as possible, and networking with people, both in and out of the university in one’s filed, as two most important aspects of an LL.M. program.
First Person Accounts: Aarushi Bhatnagar on the LLM from NLU Jodhpur, NYU Law
Both NYU and NYC have taught me numerous life and professional lessons.
First Person Accounts: Kiran Devrani on the LLM at New York University
NYU has the best arbitration courses (both commercial and investment treaty) which I was looking for.
First Person Accounts: Shruti Iyer on the NYU@NUS Double Masters
One of the biggest plus points for me has been developing this network of friends all around the globe who are all doing extremely well. No doubt it is a great asset to have from a business perspective, but it holds far greater value to me personally.
First Person Accounts: Pallavi Railkar on the LL.M. at Columbia Law School
I recommend gaining some experience before an LLM degree. It also gives you clarity about your interest areas which helps you to design your LLM program accordingly.