Hey there!
Current soc student here now. "Full funding" *typically* is defined as fully funding your tuition and fees (although some students at certain universities pay fees. I luckily do not.) You are responsible for anything that basically handles your quality of life. You should be earning a stipend of some sort if you are fully funded. That stipend is either through fellowship or some type of GAship (TA/RA/etc.)
Full funding is kinda oxymoronic because one person's interpretation is another persons struggle lol.
