Would Flygon's "Energy Shower" attack set off Ampharos-EX's "Conductivity" power? Like if I set down 6 energy, it would do 60 Damage (however I set down the energy)? And if yes, would the damage be done to Flygon or to each separate Pokemon. that I attach an energy to?
Yes, Flygon would indeed trigger Ampharos-EX's Conductivity; it also works the same way for Azumarill's "Drizzle" attack. And the damage would be done to each individual Pokemon that gets an energy attached to it.
Source: PUI Rules Team (2004-01-29)

Relevant cards

Note: All applicable cards may not be listed below.
EX3_89
WOTCN4_1