「野田恵って子知っていますよね」「のだ？」「『はぎゃ』とか『ふぎ』とか奇声を発する」

「」「？」「『』『』」

'You know Noda Megumi, right?' 'Noda?' 'She's the one who goes around making weird sounds like "hagya" and "fugi".'

Literal

''Noda Megumi [quotative-って] girl [object-を] know-[stating-よね]'' ''Noda?'' '''Hagya' [quotative-とか] 'fugi' [quotative-とか] weird-voice [object-を] emits''

A reference to the popular manga/anime 'Nodame Cantabile' — 野田恵 is the protagonist, famous for making bizarre interjections. 奇声を発する ('to emit a strange voice/sound') is a somewhat formal phrase that highlights the absurdity. ~とか lists examples non-exhaustively ('things like X and Y'). よね is the confirmative sentence particle, 'right?'.