If you upload any images into the game, using the import tool, these images will be saved and used on your device within the context of the game only. They are not shared in any way externally.
The number of levels completed, and the number of pandas collected, through gameplay, are sent and stored in the cloud, using Unity Game Services and applied to leaderboard functionality. This information will contain the numbers for these two achievements over the past 24-hours, past 7-days, and all-time. It will be associated with the username you enter in the game. If no name is provided, a randomly generated ID is used.