Is it normal after being exposed to sunlight for awhile to have small dark spots appear on your skin they look like freckels?

It can be normal: Well, sun exposure certainly causes your pigment to darken. However, certain medicines can have a sun-induced hyperpigmentation. Most likely though this is simple sun-induced pigmentation. From what you describe this may be what's called solar lentigo. Of course having a dermatologist examine it will help you confirm the answer.

Agree with Dr. S: If these are freckles, as is likely, these will fade with cessation of exposure to sun. Have a healthy diet, exercise 30 minutes/day, drink plenty of water, have safe sex, no tobacco alcohol weed or street drugs. For nutrition: http://www.choosemyplate.gov/.