Here it is before--on the backside there are actually pieces of plastic sticking out where there was once plastic covering the entire seat.
I took it apart, which just meant unscrewing the attached seat from underneath the chair.
Gave the chair a good cleaning. Some of the wood was yucky.
And then headed outside and painted the chair (in August of 2015).
It sat some more while I tried to find the staple gun in our stuff, post move. Once I found it I ripped off the old fabric and stapled back on the new piece and reattached the seat. It looks real pretty sitting in our living room.