Restoring White Shell Chair, can't buy penetrol in county. What should i use?  

Gel Coat (or Gelcoat)
Eames shells were never gel coated. I don't know where this notion came from, but there must be some confusion. Gel coat is a layer of (usually pigmented) resin that's normally sprayed into a mold before the fiberglass/resin matrix is laid in. It is the common method of boat building and is designed to protect the underlying layers from UV and to present a smooth, consistent-colored surface. Clear gel coat is very rarely used and usually only to show specialized underlying matrices like carbon fiber or Kevlar as a sales feature.
These chairs were produced instead by compressing a mat of chopped glass fibers along with colored resins (probably vinyl ester) in a heated, polished, two-part metal mold, in effect encapsulating the individual fibers. I don't know if there was ever a subsequent clear layer applied, but I don't think so. Abrading the surface, either by normal wear or intentionally, exposes more fibers and results in reduced sheen and, sometimes, a rough feel.
I've never done it, but I'd probably wet-sand to 600 grit and then polish with a progression of automotive polishing and buffing compounds.
Penetrol is a temporary cosmetic treatment. Besides being nasty to work with and bad for the environment, it won't last long in normal use. It's a favorite for eBay photos, though!
Gel coat repair kits sold for boats are designed for small repairs and tricky to work with. Spraying gel coat is possible, but done only by pros.
If you're in SoCal, you might talk to a surf board or auto body repair shop. They would know best what to do.

Agree
Agree with tktoo that the fiberglass shells probably were not gel-coated as some (including myself) previously assumed. That said, I think it is nearly impossible to restore a worn shell back to the original factory finish. Some sort of surface treatment and/or seal is required to achieve something close to the original finish.

I'd go along with that, woody.
There are certainly durable spray coatings appropriate for the application available. Unfortunately, they're not especially easy to identify, find, or properly apply by the average consumer.

Is there anything you guys ca...
Is there anything you guys can recommend to do in the garage?
id love to do this myself as much as possible.
Im just looking to get a sheen that will stand up to normal abuse inside the home.
it already has been wet sanded but its still dull.
the back of my other 2 seats have a different finish and are smooth and shiny just trying to get something like that

.
I'd try a carnauba based wax finish, plenty about.
http://www.chemicalguys.com/Auto_Detailing_Pure_Brazilian_Carnauba_Car_W...

Wax is more of a buffing...
Wax is more of a buffing compound or something to maintain a sealed surface
that may work AFTER a clear or gel coat has been applied, running wax just on virgin fiberglass doesn't seem like a wise idea
like using wood floor cleaning materials on a bare 2X4...

951socal,I'm assuming...
951socal,
I'm assuming youre in California too?
If you buy penetrol on ebay from certain vendors, they will usually ship to you without any issues.

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So you've got very finely sanded grp? I can't see what damage wax would do, its easy to take off anyway, if it doesn't look any good you could try any number of places (a small boat yard, surfboard maker) and ask them what kind of clear coat would be pk.
http://www.cflsurf.com/boardfix4.html

Okay, we're not talking museum piece here.
Krylon "Crystal Clear" from the hardware store. Spray a spot on the bottom, let it harden for a few days, and try and scrape it off. If it seems durable, wipe the whole chair down with a lint-free rag and some acetone and then go to town.
Once more, though, the car, boat, and surf board guys would know best.

what about floetrol will...
what about floetrol will that work?

No.
Penetrol is a solvent-borne combination of alkyd resin and linseed oil. Floetrol is water-borne polyvinyl acetate, or ethylene vinyl acetate or something; it sounds basically like Elmer's Glue.
Tktoo's Krylon clearcoat suggestion sounds pretty good to me...

Wax
I recently tried using a paste wax on an orange shell chair that I had sanded heavily (it was previously upholstered and had lots of staining). To my eye, it looks pretty great. The wax brought up the color nicely and gave it a low sheen (I think Penetrol can be a bit too glossy looking). For a chair that's not used much, I think it would be fine. For heavy use, I think you would need to reapply the wax so often that it might not be a good option.