Thanks for reaching out. While Site Kit does insert all the various product snippets on product and other WooCommerce pages it doesn’t provide WooCommerce specific dashboards or additional integration at present. Site Kit can however recognize existing or manually inserted Analytics snippets, which can include additional WooCommerce related tags. Using a manually inserted snippet does still allow you to use the Site Kit dashboards, providing you connect the Analytics module while using your own snippet.
There is also an open feature request on the plugins GitHub in relation to further eCommerce tracking within Site Kit. Feel free to subscribe to this issue for further updates or add any input you feel appropriate.
Let me know if you have any further queries on this and I’d be happy to assist.