No London Metropolitan do not provide accommodation for the ATPL course. The onus is on you to find a place for yourself, which can be expensive in Central London.
As for the social life, it's brilliant; Leicester Square, Covent Garden and Soho for all the clubs and bars. You can Google them from your desk at home, where you'll be sat poring over 14 books and 1000s of questions of feedback. Every night.
On a serious note though, you'll make a good bunch of friends on the course and the lecturers are a laugh once you get to know them. And every so often you need to have a break, refresh and have some fun or the exams will break you. Just don't do it during exam week!