。
She's trying to save as much money as she can.
Literal
She [topic-は] as-much-as-possible money [object-を] save [volitional-よう] [quotative-と] is-making-effort.
溜めよう is the volitional form of 溜める (to save up), and ~ようと努力する means 'to make an effort to do X.' The volitional + と + effort/attempt verb is a common pattern expressing intentional, sustained effort toward a goal. できるだけ scopes the saving — as much money as possible. 努力している with ~ている marks this as an ongoing endeavor, not a one-time act.