Welcome to Android Central! It depends on how the game is coded. If the developers designed it to save your progress to the cloud (e.g., the developer's own server, or Google Play Games), then you can always reinstall the game later, then log back in using the appropriate cloud account. If it only saves game progress locally, though, uninstalling it will usually wipe out the progress files as well. But this isn't always the case -- I've seen games that leave behind save game data files after uninstalling, although I'm not sure if this is by design or due to poor coding (i.e., the developers forgot to have those directories deleted by the system upon uninstallation).
Your best bet may be to email the Gardenscapes developer and ask them.