We have a queen mattress with a boxspring and bed frame that we don't need anymore. The mattress is in excellent shape, it was in our guest room and was barely used, and it had a mattress cover on it the entire time we owned it. The boxspring has some cat scratch damage on the sides and corners, visible in the pictures, one broken slat, and we removed the muslin from the bottom because the cats kept crawling inside. The broken slat doesn't seem to affect how the bed feels, so we've ignored it. The bed frame is a simple metal frame that snaps together and has a couple of nuts and bolts.
It's really comfortable and would probably make a good bed for a first apartment.
It's all free but you have to come pick it up. We cannot provide transportation.