Verizon Wireless announced last night (12am SGT) that they will be selling the iPhone 4 as well in the US. The difference from AT&T and perhaps the rest of the world iPhone 4 is that it will be a CDMA version as opposed to a GSM version.
In terms of physical design, it is more or less the same with only three slight differences with the metal band surrounding the iPhone 4. See top, left and right view comparison.