、。
She speaks English, and on top of that, she speaks Swahili too.
Literal
She [topic-は] English [object-を] speak-and, on top of that Swahili [also-も] speaks.
話し with no following auxiliary is the conjunctive masu-stem (連用中止法), a written-style way to chain clauses with the sense of 'and.' It's structurally parallel to the te-form 話して but feels more measured and literary, common in essays and biographies. The connector その上 ('on top of that, moreover') adds emphasis to the second clause, and も then marks Swahili as 'also' part of her repertoire. Swahili (スワヒリ語) is a Bantu language and lingua franca across East Africa — Tanzania, Kenya, parts of Uganda and the Congo — making it a striking choice in a sentence about language ability.