Looks like it's going to be exactly like PS+
Free games with Games with Gold**. Since Games with Gold launched on Xbox 360 a year ago, over 12 million people have enjoyed great free games, resulting in nearly 200 million hours of free fun playing Games with Gold titles. We’ve been learning from your feedback and have focused on making improvements each month to the selection of titles. To celebrate the one-year anniversary of Games with Gold for Xbox 360 and as a thank you for helping shape this program, members will receive an additional free Xbox 360 game in June. The Games with Gold titles for Xbox 360 in June are “Dark Souls,” “Charlie Murder” and a bonus game of “Super Street Fighter IV: Arcade Edition.” We’re pleased to bring Games with Gold to Xbox Live Gold members on Xbox One in June. Members will have subscription-based access to free games ranging from top hits to breaking indie stars. The program will launch on Xbox One with “Max: The Curse of Brotherhood” and “Halo: Spartan Assault.” A single Gold membership will get you access to the free games for both Xbox One and Xbox 360.