I was in a similar position 40 years ago!
Except I was living in my own flat with my BF, had no relatives nearby and was working full-time.
It will be difficult, especially as you're not working. Although it's amazing that you'll have your rent paid for a year!
I've just got to point out that you've been with your boyfriend since you were 14, so statistically you're not going to last long term. Although I note from previous posters that they've got some lovely stories of staying together.
But realistically you need to plan for the worst case scenario. Living off mummy and daddy and having no money except from your boyfriend is a not a safe option for you and your child.
Get a job and save a wee nest egg, while you're getting your rent paid, just in case it all goes tits up.
My story is I worked in a job that was nights, while my boyfriend worked days. No socail life at all.
6 years later we split up. I went to university, using the nursery care facility and ended up having an amazing career.
My DC is now a social worker and I couldn't be more proud how they worked out.
It depends what you want out of life and if you're happy relying on benefits that's fine. But to get anywhere in life you have to work bloody hard, juggle like mad and make some serious sacrifices.
I hope for your sake that you and your boyfriend keep together forever but please plan ahead.