Jan,
No, it's not a Singer. It's a Japanese made machine and would if complete be a good machine. It's missing the bobbin cover and I don't know how easy those are to find. It might be there in one of the boxes the seller mentioned, but make sure.
Also it uses cams. Notice the trap door on the top. If those are not included they could be difficult to ID and locate.
There is a lot of different kinds.
Other than that it does look like it's in decent condition.
Joe