Like @yuhuisg said, the flow visualization is a great way to see where they're going after that page.
Another option is to use the fallout visualization. If you have specific actions that you expect customers to take (for example - search, visit a product page, add to cart, go to checkout, place the order), then you can make each of those a step in the fallout and see how much traffic you're losing at each step. With the fallout, you can also set it to "eventual" or "next hit", so if you want to know if they go to a product page directly after a search, you can do "next hit", or if you want to know if they eventually make it there (and maybe do other things in between) you can set it to "eventual."
Both flow and fallout have some benefits. Flow will show you everything that happens after the initial action, whereas fallout you need to put in specific items. But fallout can give you a better idea of where customers are dropping off if you know what actions you expect them to be doing. You could try using both visualizations to get a fuller picture of what is happening on your site.
