It's a regular sofa size, not a love seat.
Nah; my guess is that it would be a full. I would imagine that they should have told you the size of the mattress when you bought the sofa bed! Use a full if you don't want to call the store or pull the mattress out and take a look at the tag to see what it says, if anything........
Most sofa beds are double bed size. But I have seen some in queen size. Put one of your own bed sheets on. Go from there. m