Hello,
Go to WooCommerce > Settings > Emails > open “New order” and check if it is enabled http://prntscr.com/ncnsdu https://docs.woocommerce.com/document/configuring-woocommerce-settings/#section-22
If this doesn’t solve the problem, check how emails work with Storefront theme (default theme of WC) activated on your site.
We are theme support, so we are able to help with issues related strictly to our theme.
Regards