Were similar amounts of troops or ships involved? Was there similar use of special troops like paratroopers? Did it take similar amounts of time for the Allies to break away from the beach head?
Three veteran US infantry divisions of the VI Corps, US Seventh Army, (3rd, 36th, and 45th) and the 1st French Armored Division (of the French First Army) initially landed in southern France, on 15 August 1944, compared with the six allied divisions that landed in Normandy. A French Commando unit and the First Special Service Force also took part in the invasion.
In regards to "special" troops like paratroopers and the like, the 517th PRCT, an independent parachute formation, was dropped behind the beachhead. Each infantry division's assigned separate tank battalion (with whom they were very well acquainted and would fight with for the rest of the war) was outfitted with some DD tanks for the landing. The DD tanks were far more successful during Dragoon than at Normandy due to the calm water, and only a handful were lost (out of the 20 launched, one was disabled by a mine, and one got caught in the wake of a passing ship and swamped)
German opposition was very light (close to none) on the beachhead on 15 August and in the hills beyond. As the Americans advanced, most German troops were in full retreat away from southern France. A battle in which the Americans were decisively victorious and destroyed a large amount of fleeing Germans and their equipment took place at Montelimar from 21-28 August. The US Third and Seventh Armies linked up at Dijon on 11 September, turned east, and held at the German border. As with the forces of First, Third, and Ninth Army to the north, a bitter fall and winter battle would commence. In terms of time, it took a little less than one month for Operation Dragoon to reach the German frontier, compared with over four months for Operation Overlord.
Sources:
The Day of the Panzer, by Jeff Danby
The Guns at Last Light, by Rick Atkinson
DD Tanks
http://the.shadock.free.fr/sherman_minutia/duplexdrive/duplexdrive.html
ETO Order of Battle- DIVISIONS
http://www.history.army.mil/documents/ETO-OB/ETOOB-TOC.htm
United States Army in World War II, European Theater of Operations: Riviera to the Rhine