Over all it should operate fine. However, you will see less performance in applications that are multithreaded and would take advantage of more than 2 cores. You will run into the most issues when trying to run several things at once as they will all contend for the 2 CPU's. For gaming, which I assume you do with your video card, will vary. Some games run just as well on a dual core as they do with a quad core. Others just far better with more cores. It will completely vary.
Is there anything specific you are questioning?