You'll receive notifications when items or auction houses you are listed, your registration is approved, when you've been outbid, when you've lost an item, and when you've won.
If you've won an item, you will receive an email titled "You Won!" from LiveAuctioneers. You can also view items you have won on the Won Items page on the LiveAuctioneers website and the My Bids > Past tab on the LiveAuctioneers mobile app.