How Dermatologists Treat Leg Veins
Leg veins show up in more than one form. The first job is naming which one you are looking at, because that sets which treatment question you are actually asking.
The American Academy of Dermatology notes that dermatologists use lasers to treat spider veins and small varicose veins. That sentence covers two forms, not one. A plain overview of spider vein treatment is a useful second read for the finer end of the range.
Guides to read in order
Start with the guide closest to the question you have now, then move to the one that covers what comes after it.
For the wider picture, why leg veins appear and how dermatologists treat them lays out the full set of approaches in one place.
One guide, then the step after it
Pick one guide, read it to the end, and note what it says comes after that step. Ask what comes after the first step before the first appointment, not after it. Vein treatments gives a catalog to check your notes against.