Your shopping list is within the settings of the Google Home app.
What I do to access my shopping list as quickly as possible is visit the website link below.
And then add this page as a shortcut to your device home screen.
Edit: Instructions for how to do this on iPhone.
Open Safari and head to a website you want to pin to the Home Screen to get started. Then tap the Share icon at the bottom. Then tap Add to Home Screen from the menu. Next, type in a name for your shortcut and then tap the Add button."
It looks like we haven't heard back from the OP so I'm going to go ahead and lock the thread. If you have any further questions or concerns, feel free to create a new thread.
Have a great day,