Hey,
English Literature is not just a discipline but much more. This course trains you in such a way that you end up being an intellectual human. It helps you broaden your perspective in the most aesthetic way possible. It makes you engage with yourself so that you can analyse what you are instead of what you could be. It gives wings to your imagination.
Now let's get back to your question. Well yes you can study Literature abroad but there are various good universities in India too that are really good to pursue Bachelors in English literature and for your Masters you may go abroad.
You can take entrance exams like TOEFL for studying in US and Canada,IELTS or PTE for studying in UK,Australia,New Zealand. The standardized test for undergraduate courses is SAT. Along with your SAT or TOEFL/IELTS scores you need to have a stellar application form to be able to grab the scholarship(If only you need it).
Hope this helps.
Good luck.

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