You have complete control over exactly which product details your client can see.
From the "Product List" section (found below the design board), click the [ Manage What Client Sees ] button to see which options you can hide or reveal:
You have the option to hide or reveal the following items:
Hide total price from client
Hide all products from client
Hide all product names from client
Hide all product descriptions from clinet
Replace shop links with approve/reject buttons
Once you've made your desired selections, you can then click "Apply settings to all project design boards" to save these same settings across all existing design boards in the project.
From there... click the [ Preview Project as Client ] button to double confirm the correct information is showing.