This is a picture of my hidden seam--you don't see the tape because it's on the underside of the paper--tricky eh? The rest of the wrapping process is about what you'd expect, so I won't elaborate on it.
Tada! The finished product. I got the ribbon and the gift tag from Target (they're apparently not available online so go to your nearest store). At Mervyn's, they like using ribbon with the wire in it (the kind you use to trim your tree). Another thing they do that's fun is, instead of gift tags (or in addition to), they'll tape on silk flowers (for a wedding), baby rattles (for a baby shower gift) or little toys.
Hope that made sense--it's harder than I thought it would be to explain gift wrapping.