Yep, I have a HD antenna and watch network TV in 1080p. Sadly I think most people are conditioned to believe that you cant get these channels without cable.
Get an antenna from <any store that sells TVs>, plug it into your HD-ready TV and scan for channels. You should get ABC, CBS, NBC, FOX, PBS and other local channels. Most channels have sub-channels that might show weather, alternate programming or older shows from the 70s or 80s.
If you don't have an HD-ready TV, you can get a converter box from the same store that you plug your antenna into.
If you asking about the 1080p part, most (all?) HD channels broadcast in 720p or 1080i.
And you don't even need a fancy "HD antenna". I'm using a broken old antenna from analog days to receive 1080i HD from 4 of the major networks, PBS, and then some. I also have an Eyetv connected to my computer so i have DVR functionality.