Ummm... a lot. I'm sure it's over 100lbs, I think more like 150. I just put one like it in my 'cuda (original 67 split bench). Trying to get the studs lined up it was hard to lift one end with one arm.
I've had my bench out a couple times, and I don't think it was that heavy. Just a bit awkward. I'd only guess 60ish. What's probably gonna get you for shipping is the size.
Weight isn't going to be issue here, the size of it is what will make it cost some money to ship. I ship this type of goods Greyhound if terminals exist near both locations. I recently shipped in a trunk lid from Alabama to Oklahoma and it was about $100.