I do it for myself, and of course if I had a child I would do it for them, as well. The goal is to minimize the total exposure to gluten so that the total amount that gets by anyway does not trigger a reaction which causes internal damage, even if you cannot see it. Many of the common, otc drugs are putting "gluten free" on the labels, like the generic store brand of ibuprofen we have right now. That's my bottle and my spouse is to stay out of it, (not that I take it much) but he went ahead and purchased his own - gluten free. Shampoos are easy once you find a brand you like, Dove, Dr. Bronners, Alafia, Garnier, etc, (or you can sometimes find a body wash that is gluten free, to use as a shampoo) you just need to keep track if the label changes from one bottle to the next, and by using a search, "gluten free shampoos" you can find something available quickly. Conditioners are more of challenge as they tend to load up a lot of them with either wheat germ oil, or oats (oats sativa can be cross contaminated, and some celiacs react to gluten-free oats anyway). These conditioners are designed to leave a residue in the hair anyway, it's oil and difficult to remove, and they get spread all over the place with a towel, plus the shower spray is spreading it to the mucous membranes, so it is a mystery to me why anyone would deliberately take a bath in a liquid wheat product. Pure apple cider vinegar mixed with water, 1 part vinegar to 7 parts water, makes a fantastic hair rinse/detangler. A little bit of shea butter or coconut oil (tiny amounts, like about the size of a pea) can then be used, if you have dry or curly hair. Sunscreen, the last three bottles I bought have had "gluten free" status, 2 of them it's right on the label. Try a health food store if you are having problems with a regular store, but there should be something in the discount stores also with regular brands (as of last year, 2012, Banana Boat's sunscreen was gluten-free, but I don't know their current status on this year's product). In an emergency, you can also use just plain coconut oil as a sunscreen for a short period of time, it has a natural SPF of something like 4 or 6, or mix plain coconut oil with plain zinc oxide cream. (baby stuff tends to be good about listing the possible allergens right on the label)
Don't forget toothpaste and lip gloss need to be gluten-free, as well.