WooCommerce is a pretty awesome plugin to use to bring your shop online. Not only it is very easy to learn, but you can do all kinds of neat things with it thanks to its extensions. The Woocommerce Live Product Search plugin happens to be an extension that adds live search to your e-commerce site. When a user searches for a product, the results will change without reloading.
Live Product Search simply makes it easier for your visitors to search and find what they need on your site. Our experience with it was a bit of a hit and miss. The plugin could make your site look more dynamic though.