。
She got tanned to a bronze color.
Literal
She [topic-は] got-sun-tanned-and bronze-color [become-に] became.
日焼けする ('get a tan, get sunburned') is a 漢語 noun + する verb. ブロンズ色 is a katakana loanword + 色 ('color'). The pattern ~色になる ('become ~ color') is the standard for color change, with the result-color marked by に.