。
She does everything quickly.
Literal
She [topic-は] anything do [nominalizer-の] [subject-が] fast is.
何事も means 'in everything, anything (and everything),' setting up a universal frame that the predicate then characterizes. 早い here is the i-adjective for 'fast, quick,' with するのが marking 'the act of doing' as the subject of the speed claim. Note the same pattern as ~のが好き / ~のが上手: nominalize a verb with の, mark it with が, predicate it with a state adjective. A handy frame for describing speed, skill, or preference of any sort.