I had 3+ roommates through my 2 year master’s program at MIT. It’s doable. I lived in Cambridge. This city has an abundance of well…to put it bluntly…shit-tier off campus student housing. 5 years ago I was paying $900/month for a 10x10 room which is large for student housing. 4 roommates, 1 bathroom, small kitchen, a tiny living room that barely fit a couch and a tiny tv. Plenty of code violations in the place. Rents have gone up quite a bit since then, expect to pay more.

You will need roommates.

Just don’t expect to be saving for retirement unless you’ve got mom and dad helping, which from your post it seems you don’t.