What does it mean to have a few unenlarged lymph nodes are seen in both sides of the neck after having an ultrasound test?

Normal. Probably this means that the person getting the test had normal healthy lymph nodes. Typically, enlarged lymph nodes indicate disease, but normal size lymph nodes don't. Lymph nodes are throughout the neck, here's a nice surface diagram: http://goo.Gl/kepw2.
This could be normal. This may just be normal but you will need to talk with the doctor who ordered the test.