If I am asked to leave on the day I give 2 weeks notice, does my employer have to pay out that 2 weeks?

I recently resigned, giving my employer 2 weeks notice. I was asked to leave that day because I am going to a competitor. I asked if the 2 weeks was paid out and my HR rep said no. I have since heard that they are required to pay that to the employee as long as they are not fired. Is this true?