Lots and lots of breakfast places in Solvang (several great bakeries; danishes; pancakes with various berries, you'll have lots of choice).
Nearly everything open by 10 am as people have said. Lots of parking. The street with the windmill (Alisal) has lots of well-established shops and at the corner of Alisal and Copenhagen is Rasmussen's (great souvenirs) and behind Rasmussen's are some shops devoted to collectors of various things (like dolls and clocks and stuff). Solvang has lots of clocks. Mortensen's and Birkholm's (Alisal and Copenhagen respectively) are both good bakeries. Both have takeaway counters, Birkholm's for sure also has sit down service (and I think they serve regular breakfasts too)