I think we ate breakfast there 3 times when we stayed there! It was just so tempting to wander down to the lobby and start eating! If memory serves me correctly, there are ready made omelets, but there's a chef there to make them to order as well.
If you do eat at Boma, don't miss the chocolate pastries. They're kind of like a pain au chocolat, but with coarse sugar barely melted on top, and a subtle touch of coconut somewhere inside. Flaky, pastry, chocolat-y, coconut-y goodness. They are aMAZing. You can also buy them at the Mara.