Somewhere on this forum is an early post I made stating that after a couple of weeks I felt better than I had since I was a kid. I hope this continues for you but I want to warn you that you may start feeling lousy again in a little while. Many of us do. For some of us, other intolerances rasie their ugly heads. For some, other AI conditions that were being masked by celiac raise their ugly heads. It's almost like that week or two of feeling wonderful is a sign that it IS possible, but it might take a while to get back there.
That being said, not all of us have these further problems. I sincerely hope you are one of those who feel great again permanently. But if not, don't give up hope. It might take a little longer to get back to the point you're at now, but you WILL. For now, try to stick to whole foods and skip the gluten-free replacements for a while. Take a good probiotic and some vitamins. It MIGHT not hurt to start a food diary so if you DO go downhill again for a while, you'll be able to single out which food is getting you. Dairy, soy, corn, and nightshades are problematic for some of us. BUT!!! Not ALL of us! You might be one of the lucky ones.
Also, read the Newbie 101 thread. It'll help you to ferret out the places gluten can hide and prevent you from getting cross-contaminated.