Yes, but you'll hate it. Hate it BADLY. Bluetooth is way too slow for any but the most meager of browsing. You can do this by connecting to an appropriate BT cell phone. If you MUST use a cell phone for your Internet connection, at least use a USB cable to connect to it-USB 2.0 is WAY faster than Bluetooth.
Remember, BT was intended as a "wireless peripheral connection" for such things as printers, NOT for any heavy-duty data transport.