The quickest way to access your Wi-Fi network settings is to swipe down from the top-right corner of the screen to access your quick settings and then tap on Wi-Fi. Alternatively, you can also get there by launching your Settings app and tapping on the Wi-Fi option there. Either way, when Wi-Fi is turned on, your device will instantly start to scan for nearby ports.
So when you see your own network displayed, tap on it, enter your password (as supplied with your wireless router) and get connected. When you are away from your base station, it is a good idea to turn Wi-Fi off to save on the battery power your device would use when scanning for networks; do this by moving the Wi-Fi slider to the off position, or by tapping Aeroplane Mode.