
Actually, I'm fairly certain that is is an actual chocobo. I've never seen anything about barding in any official reference to the Legacy program. The Legacy program information page is quite explicit that it is a chocobo that you're rewarded with. My impression is that the chocobo itself will have distinctive plumage from the standard, or possibly that it has particular barding which cannot be customised.
If you didn't get a chocobo through the Grand Company system in 1.0, you won't have one sitting in your inventory or at the Calamity Salvager. If you did, instructions to find the Calamity Salvager in your starting city can be found here.
To earn a chocobo, I believe the system is the same now as it was before, more or less. Get to level 20, go through quests that lead to joining a Grand Company, do stuff for them, purchase (or get rewarded with?) a chocobo whistle. This has nothing to do with Legacy chocobos, so far as I'm aware.
If you didn't get a chocobo through the Grand Company system in 1.0, you won't have one sitting in your inventory or at the Calamity Salvager. If you did, instructions to find the Calamity Salvager in your starting city can be found here.
To earn a chocobo, I believe the system is the same now as it was before, more or less. Get to level 20, go through quests that lead to joining a Grand Company, do stuff for them, purchase (or get rewarded with?) a chocobo whistle. This has nothing to do with Legacy chocobos, so far as I'm aware.