This members-only tutorial provides the steps to set up a search form that searches across WooCommerce products instead of the standard posts & pages and to show the results with pagination on the search results pages.
enable HTML5 output for the search form
customise the above HTML to set the post_type to product
get the posts_per_page value from WordPress settings page and use it to add pagination on search results pages. By default all products will appear without pagination.