Yes, provided:
1. You have installed Senly as a PWA (see install questions above)
2. You chose Allow notifications at the first prompt
3. On iOS: you're using iOS 16.4 or newer (earlier versions don't support PWA push)
Notifications come through for: new bookings, task mentions, incoming leads, invoice payments. Under Profile → Notifications you set per category what you do/don't want to receive.
No notifications on iOS? Update your iOS to the latest version, or use email as an alternative.