>Where should I get an apartment if I'm attending WPI and don't want to spend a lot on rent?

What are your plans for nightlife and weekends? Do you want to hang out with people more or will you be mainly studying?

>I'm from India, what should my wardrobe look like, and where to buy winter clothing?

You'll need some warmer clothes for winter. On average, it's about 20-30⁰F during the winter and 80⁰F during the summer. There are some days in the winter where it will be really cold, but it's not often. Same with summer and the heat; there will be some days that get close to 100⁰F but it's not often. So have a mix of clothing items to be able to make outfits for 0⁰-100⁰ to factor in those outlier temperatures.

As for getting clothes, there's lots or shops in Worcester, plus a few malls within about 30 minutes drive time. You can even get to Boston from the Worcester train station and Boston transit is pretty good.

>Can I travel around using public transportation or will I require a car?

In Worcester, transit isn't that great. You'll need to use Uber, your legs, or get a car. My opinion is bias though since I'm from a city in the Midwest that had a really good transit system, closer to what Boston has without a subway.

Personally, I'd get a beater car just to be able to go where you want and when you want.