High-price civilian GPS receivers are capable of this -- except you rarely have access to such a beacon. I mean, the restaurant I'm going to eat at isn't going to provide my little TomTom with a differential signal. With aviation, it's important enough that high-traffic airports provide the DGPS beacons.
Now newer IFR certified units do have WAAS, which is similar to DGPS, except the signal is transmitted from a satellite, and is based on measurements from a couple dozen ground stations, the correction interpolated in the unit.
There has been a proposal to implement a system called LAAS for a number of years, which would be like DGPS, but would have the integrity checks that are required for aviation. However, it never really got off the ground.
As it stands, with WAAS, you can be guided to 200 feet above the runway, but this is not as good as the old analog radio ILS, which, if setup in a sophisticated way, can take a plane all the way to the surface.
On 19 September 2007, the United States Department of Defense announced that future GPS III satellites will not be capable of implementing SA,[59] eventually making the policy permanent.[60]
[1] http://www8.garmin.com/support/faqs/faq.jsp?faq=221
[2] http://en.wikipedia.org/wiki/Wide_Area_Augmentation_System