I am a celiac, and while searching for gluten-free places in Pamplona with Google Maps, this one came up, its main name is Singlu Caprichos.
Well, be careful, it is a bit misleading. It is not a bakery dedicated to gluten-free products, it offers you 3-4 options, but the vast majority of products are gluten-free: bread, pastries...
When I went, the gluten-free options available were a cheesecake (non-vegetable), a donut, some equivalents of fosquitos, and muffins, all in plastic bags (for cross-contamination).
There are bakeries dedicated exclusively to gluten-free products, but if you are not one of them, you should not label yourself “SinGlu Caprichos”…