Yes, you will be emailed and also receive a text (If you provided your phone number). If there’s no tracking number available to view in “My Orders” it hasn’t shipped yet. Now there is sometimes an extra step you take to “add this order to your Apple ID”. This might be in your confirmation email or use the order number given in that to look it up in my orders and it might prompt you to do it there. This will facilitate in you being able to look up more information. If you purchased in n America you can also call 1-800-MY-APPLE and they can look up your order status, have your order number ready, although it will likely know you’re calling about this item (if you provided your phone number at checkout). They might ask for your Apple ID, so have that ready as well.
TIP: If you want to make sure you don’t miss this email, tap on the email address it was sent from and “Add to VIP”.
I do this and I don’t allow notifications from regular emails except VIP, I even go a step further and add a special sound to VIP Mail so I can’t miss it. Show emails from VIP senders in Mail on Mac - Apple Support
I suggest you give them a call for peace of mind, they answer quickly and can assist with shopping or any technical issues We otherwise can’t help with customer service on the forums.