My mother grants whatever I wish for without my even having to ask.

Literal

Mother [topic-は] my wish things [topic-は] whatever say-not-[even-ても] fulfill-[benefactive-てくれる]

望むものは何でも = 'whatever (I) wish for' — 望む (to desire) + もの (thing) + は + 何でも (anything). 言わなくても = 'even without saying.' かなえてくれる = 'grants/fulfills (for me).' A complex sentence expressing deep maternal attentiveness.