The roofing is made of galvanized metal panels. I don't recall if this is the exact product we used, but if not, it's pretty close:
http://www.aepspan.com/roof/prodDetailea25.html?id=24

The wood you are seeing is the roof framing, which was a custom designed and engineered system of paired rafters with layered sleepers above.

The gutter and brackets are a custom designed fabrication. A description was published in Residential Architect magazine. Here's a link:
http://www.residentialarchitect.com/architects/rain-go-away.aspx

I hope that helps.