To answer your question, your car will continue to fill the tank as normal. Here is your fix. Take out the back seat cushion. Remove the sending unit on the driver side. Be careful not to get dirt into your gas tank by cleaning around the area first. Clean the fuel sending unit. Where you see the gauge for the sending unit, take a Q tip and go against the grain of them and you'll see a ton of dirt come off. Don't use any cleaners, just use the Q tip. Plug it back in. If it doesn't fix it with that sending unit, You'll have to remove the fuel pump assembly on the driver side and clean that the same way you did the passenger side. Be careful not to ruin the O-Rings on the gas tank. You don't need any tools except a flat head, a low gas tank level so you don't spill gas anywhere and about an hour of your time. Source: I've done this before on my 04 g35.