TLDR: Can your parents take away stuff that they gi e you?

I will be graduating from college and will be moving into my own apartment. My parents have said they will pay for a little bit that I can't afford of my security deposit. They also said that they will give me some extra furniture they have for my apartment. They have been oddly nice lately. I am worried that they're trying to lul me into a false sense if security, but that's beyond the point. I want to know if they give me stuff as a gift, and I am an adult can they demand I give it back? They also, pay my phone bill and bought and paid for my phone. Can they demand I give it back?