Using the Lightning Component on a page

Navigate to a Record page or Home page. Click the cog icon, then "Edit page":

Under the "Custom" Components section, drag the "Snowflake List Component" onto the record page.

On the component configuration pane, select which child object you'd like to render a list for:

Save the changes to the Page, Activating if necessary.

Now, when viewing a record page, you will see a related list, automatically filtered by the parent record value per the lookup relationship.