How do people with celiac disease relieve migraines?

Same way: Migraine can be treated with several approaches dependent on the severity, frequency, and triggers. There is no link between celiac disease and migraine however. If ibuprofen does not help your migraine, talk to your doctor to see what else can be used. For example, the triptan class of drug often works well on migraines.

No different: Not different than anyone else. Just ensure the medication being used is gluten free (can ask the pharmacist).