Hamburg, the city, has both: great publishing houses and a prospering free port. Hamburg, the theme, can do both: straight-forward publishing of written content and (in alliance with WooCommerce and WooCommerce German Market) sell tangible as well as digital goods.
In order to use Hamburg with WooCommerce, you have to do … anything. The theme carries all the CSS styles and files needed (which, of course, only will be loaded when WooCommerce is active). WooCommerce’s own CSS styles will be automatically deactivated by the theme.