She spread a tablecloth over the table.

Literal

She [topic-は] table [genitive-の] top [on-に] cloth [object-を] spread.

広げる ('spread out, unfold') is the transitive verb for opening up something flat — newspapers, maps, blankets, tablecloths. The intransitive counterpart 広がる describes spread by itself ('spread out, expand'). クロス written in katakana is a loanword from English 'cloth,' and in this fabric-on-table context functions as a clipped form of テーブルクロス ('tablecloth'). The Japanese verb pair for 'spread' is one of the cleanest examples of the systematic transitive/intransitive pattern that runs throughout the language.