No - "G" designates a series of years of machines made in Elisabethport, USA. So you'd want to really look over the condition of the machine, as that will determine value.
Would love to see more pictures of the cabinet, it does not look like an original Singer one, though it may be much newer than the machine. It does not have the Singer lift assist bracket either.
Here is what an older Singer style small parlor cabinet looks like inside.
