The online version of Legacy is up now!
Before you start a new game, a dialogue will ask you which game number you want to play. The game number is a random shuffle: if you choose the same game number you will draw the cards in the exact same order.
If you want to just play by yourself, leave the game number blank and you will get a random game number.
If you want to compare with a friend, decide on a game number together. If you both play game number 123 for example, you will get the same numbers in the same order, and then you can directly compare your scores to see who made the highest scoring legacy!