My elder sister is from this institute, so I think I can answer your question.
Legal Methods is the most difficult of the five subjects you'll study in the first semester. It covers a wide range of issues, including summary writing, finding ratio and obiter dictum, and legislative interpretation. You can read the article “The Case of the Speluncean Explorers” if you want. It's pointless to read the other materials before attending college lectures because the paper is purely application-based. Every year, entirely new excerpts are picked up for the paper.
You can read the first 3–4 chapters of Ratanlal and Dhirajlal for Torts. After a few lectures, you'll figure out the rest.
The syllabus for the other disciplines is primarily lecture and module-based, so there's no use in doing anything ahead of time. However, for Pol Sc, any material on theorists such as Hobbes, Locke, and Rousseau would be helpful.