If you have Celiac Disease or are Gluten intolerant, the long term benefits of the gluten free diet include lowered risk of cancer, osteoporosis and other malnutrion related problems. Better overall health. Less risk of developing more autoimmune disorders.
If you don't have CD; but it runs in your family, avoiding gluten eliminates your risk of developing it.
Otherwise, the effect of going gluten free really depends on what you replace gluten with. If you take the opportunity to embrace a healthy, whole food diet the benefit is improved health. If you eat potato chips and ice cream more often, the benefits aren' there.