Your question is kind of Trivialtrivial,but but from what iI understood you're typing the IP address (that the arduinoArduino displays on the serial monitor) into your browser.
First, make sure you connect your ethernetEthernet shield to your router using an ethernet cable. (Now it's connected locally...)
Second, even if you type in your arduino'sArduino's IP address into the browser, the browser will return nothing because the arduinoArduino simply has nothing to display, and hasn't been programmed to accept requests.
To actually have the arduinoArduino display something you can try the Webserver example sketch or you can follow this great Tutorial that iI found very useful for beginners.
BTW ports are only used to expose your arduinoArduino to the internetInternet, in other words if you don't portforward to your arduinoArduino, your arduinoArduino won't be able to get requests from outside your local network (Wi-Fi,Ethernet).