could you please clarify for me if you want the ecommerce side of the website to be hosted on Hubspot? I can see that you're currently using Wordpress and the native ecommerce plugin there is WooCommerce. Depending on how you're business flow would work, you can use Hubspot for many things, including:
helping the website visitors using a chatbot
trigger pop-up forms
capture the transaction data into Hubspot
manage customer support queries
Here's a link to the WooCommerce's page on how they integrate with Hubspot.