It is possible to have customer pages in your store. The basic function for these pages is to allow your customers to check their order history as well as manage their own address and payment information in order to speed up the checkout process.
If you want to use customer pages, you must allow the customer login process. After that, your customers can create an account.
Customers can see their whole order history or see details from specific orders, i.e. what they've ordered, when they've ordered it, if the order has been shipped and so on.
Customers can also have multiple addresses. These addresses can be added, removed or modified through the account page.
The functions of the customer pages can be expanded with applications, i.e. if you are selling a product which has a subscription based model. This allows the customers to adjust their subscription through the account page.
For more information about customer accounts, check out Shopify documentation: https://help.shopify.com/en/manual/customers/customer-accounts