Is she somewhat better today?

Literal

She [topic-は] today somewhat good is [question-か]?

いくらか functions as a softening adverb meaning 'somewhat, to some degree, a little,' from いくら ('how much') + か (indefinite-marking). It's the natural choice when asking after recovery without overcommitting to a strong reading — gentler than 少し ('a little') and softer than だいぶ ('considerably'). The question is elliptical: いい on its own can stand for many things in context (feeling better, doing better, recovering), and the listener fills in the antecedent — likely health, given 'today' and the inquiring tone.