John,
Chances are the frame is the right one. All 65 GS cars used the convertible frame.
By a full restoration, do you mean back to stock/original?
I can tell you from my experience that swap meets likely won't have what you'll need for this project. There might be something here & there you'll pickup, but the pickins are pretty slim from my experience lately. And you need to know what to look for.
That all being said, and just looking at the photos of the car, you'll need;
a late (64-66) 401 with a rear sump oil pan
65-66 GS exhaust manifolds
All the 65-66 GS clutch linkage parts, bellhousing, T-10 trans (it is not a Super T-10), shifter, etc.
8.2 rear end from a regular 65 Skylark which would fit, or a correct 65 GS/Sportwagon rear
65-66 GS engine mount plates, mounts, and frame towers
65 GS floor shift steering column
65 GS engine & starter wiring harnesses
4 speed or 3 speed driveshaft (depending on what trans you want)
65 GS specific left side battery brackets
65 GS radiator
65 GS fuel line brackets (bolt to pan)
all the right engine accessories and accessory brackets, hardware, etc.
Hard to find bits;
front bumper/parking light bezels/housings, etc.
decent tailight housings
rear tri-shield emblem
hood ornament
rocker mouldings
decent door panel emblems
decent inst. panel sections (the big die cast parts - there are 2)
good dash pad
arm rests & bases
grilles/headlight bezels
horn relay - looks like your car has that
correct core support "X" braces - if they are missing
That's just a list off the cuff. Since there is so much trim that is potmetal or diecast, it almost always needs to be rechromed.
Which can get expensive. And you'll need to find a rust free top.
You should make sure it has no title issues before going out there.
Mark