How was any information about it conveyed, and what was conveyed? I would guess that fairly shortly afterwards everyone was aware of the fact that an attempted coup had taken place (although I am curious how soon afterwards), but what about the fallout, the people hunted down and so on-- was the world aware of that and what was going on?
The news of the 20 July plot pretty much filtered out of Germany almost as soon as the coup failed, initially from German media outfits. Hitler himself took to the German airwaves on 21 July at 1 AM to reassure the German public he was still alive and that the coup had been squashed. Goebbels and the German news service also became quite active in the following weeks describing Hitler's providential survival and the renewed need for a more National Socialist war effort. The military also witnessed an upswing in ideological agitation within the Wehrmacht. The Nationalsozialistischer Führungsoffizier (NSFO), which had been established earlier in the war to instill the correct ideological mentality within the troops, found a new vitality after the 20 July plot. By 22 July, the NSFOs were reading Hitler's speech and others by loyal commanders like Donitz reminding the soldiers of their duties and that insubordination was akin to treason and those guilty of it would meet the same fate as the 20 July plotters.
This German media campaign did not escape the attention Allied intelligence and media outlets. Ultra decrypts about dealing with the plotters gave Allied planners a degree of knowledge beyond the story presented in German media, intelligence assets like diplomatic contacts with friendly neutrals and clandestine sources within Germany supplemented the information about 20 July available.
The Allies were not slow in publicizing this event. The New York Times reported on the assassination attempt on 21 July and mentioning Stauffenberg. The Soviet-run Freies Deutschland's German language radio broadcasts and newspapers publicized the 20 July coup and urged more military officers to act against their state. The Western Allies also conducted similiar broadcasts about the attempt and the follow-up purging of the officer corps of disloyal elements. Overall, this Allied coverage of 20 July had little impact upon the German populace and the military, but it added to greater awareness of the failed assassination.
Sources
Dulles, Allen, and Neal H. Petersen. From Hitler's Doorstep: The Wartime Intelligence Reports of Allen Dulles, 1942-1945. University Park, Pa: Pennsylvania State University Press, 1996.
Kershaw, Ian. The End: The Defiance and Destruction of Hitler's Germany, 1944-1945. New York: Penguin Press, 2011.