There are two approaches to lighting this piece; from the front or from the back.
From the back, you will need to float it away from the wall to allow for a fixture - consider a ready-made under cabinet light - and use a thin piece of plywood, painted to match the wall behind between the sculpture and the fixture. Any method from behind will visually fill in some of the "open" elements.
From the front, the easiest might be a classic picture light, repainted to match the wall behind. You could use a low-voltage MR16 spot but this will have to be placed as some distance and at an angle from the sculpture. Any frontal lighting will create shadows from the sculpture itself and brighten the rest of the wall.

A light box made from plexiglass and an under cabinet light would look very nice.

Light it from above with a grazing light. That is how lighting designers really get the texture on a vertical surface to pop.

www.youtube.com/watch?v=p969JoKG7zE

Get yourself to your local Home Depot or whatever and look at what they have for cabinet lights. I've seen some very low profile units, small spotlights instead of the long bars, there's a lot out there. Think about hiding the cord behind one of those plastic square cable covers for flat screen tv's, painted to match your wall of course.

There's going to be a difference between backlighting and highlighting this sculpture. I suggest you spend an evening with some flashlights (even with the art on the floor) and look at this piece in various ways. Lighting from the back may be dramatic - but may leave the artwork itself in silhouette. Lighting from the top or bottom may make ugly shadows. Maybe a ropelight will light it well from behind, they are inexpensive and they stay cool. I look forward to seeing the results!

If you're not opposed to hard-wiring, installing a single recessed light in the ceiling above where you hang the sculpture would be a really subtle way to light it up. You could opt for an adjustable one so you can angle it right on the artwork. Another option would be to mount a very thin light bar behind the sculpture. Many come less than 1/3" high--VERY inconspicuous. Light strips might be worth investigating too, because many are flexible to give you more freedom in choosing where you want the light be concentrated on the sculpture. If I were you, I'd look to finding an LED or fluorescent light source, because they emit very little heat. A halogen would make that metal very hot to the touch. OUCH!

IKEA Dioder LED battery powered desk drawer lights.

nice piece! i would light it from above and slightly angle the light (not head on) so that there would be an amazing cast of shadows on the wall. m

There are some very inexpensive LED lighting kits available from Amazon, like this one for like $35 (with more LEDs than you could possibly need).

http://www.amazon.com/gp/product/B005QGBV7E/ref=oh_details_o04_s00_i00

You could use those directly behind the sculpture, or you could actually mount the sculpture on something and mount the lights behind that, which might actually look better.

I would go with LED's - possibly an under the counter style light. Also, I found that our local dollar store had those little solar lights that stick in the ground and those might be a good alternative too (if pulled apart and the insides were used).

That sure is a cool sculpture.

Those miniatures lights are so neat! I'm glad I stopped by and learned they exist.

I'm with Dovieann and vote for a light box behind it.

you could look into using Electro Luminescent (EL) wire, it would be small enough to fit in the existing gap between the sculpture and the wall and as it is flexible you could follow the online of the sculpture with it to give a soft edge glow. It also wouldn't heat the metal.

A light from above -or below- could produce long shadows, don't know if you want this drama...
I would go cheap and put some christmas led lights behind some kind of glazed material for diffusion.

I also have a fabulous C. Jere sculpture. I promise you it's plenty of bling. I think lighting it from behind is tacky, I'm sorry to say.