If you want to check on Purchases you’ve made through Google Assistant, you can now check that through a dedicated page on either the Assistant settings or through the More settings option on the Google Home app. This doesn’t mean all purchases made through Google will be logged here, though. As Android Police speculates, you would need to have made the purchases through Assistant for it to show up on this page. And if you do a lot of shopping with Assistant, you might find more use for this page.