Sunburn is the visable endpoint of damage. It is not a good thing!
If it is still red, then it is still repairing itself and is MUCH MORE sensitive to further damage. I'm not suggesting staying indoor, but do make sure you cover up with dark colored clothing, and/or use high spf sunblock like a 50+ when you do go out.
When you are you young, your body is more robust and can repair itself better. Sun damage is cumulative. The best endpoint is signs of aging like wrinkles and fine lines, while the worst is skin cancers like deadly melanoma.
Yes, I agree go out and enjoy the great outdoors, just be sensible and apply some good quality sunblock spf 30 everytime you step out the door, reapply it every 2 hours in intense sunlight, and avoid the direct sun from 10-4 etc.
If you are 20 and you burn you will recover, but at 40 the mistakes of youth catch up with you. Trust me. Do you want 1inch circles cut out of your face or neck to removes skin cancer lesions, because you were carefree about protection?
Trust the Scientist here.