What's the difference between the Supernote cloud connection and the Browse & Access connection?

Two completely separate connections. (1) The cloud connection (over the internet, via your Supernote account) syncs your to-dos both ways. (2) Browse & Access is a direct link to your tablet over your home Wi-Fi (the device runs a small file server while it's switched on). The app uses Browse & Access to pull the actual handwritten note pages a to-do links to, converting them to a viewable PDF — this is optional and up to you. Your to-dos sync fine even if Browse & Access is off; for the notes themselves, the app can also offer to download the last copy your device synced to the Supernote cloud — handy when the tablet's off or away, though it may be behind your latest ink.