。
Please hard-boil the eggs.
Literal
Egg [topic-は] hard-boil [into-に] do-please.
Uses ~にする ('make them into X') where X is the nominal 固ゆで ('hard boil' as a noun). This is the 'set parameter' sense of にする. 固ゆで is a noun compound: 固 ('hard') + ゆで (nominalized from 茹でる, 'boil'). Note 下さい uses kanji, an older/more formal spelling of ください.