。
She killed an hour browsing around the shops.
Literal
She [topic-は] shops [object-を] looking went-around [and-て] one-hour killed.
~て回る ('to go around doing') describes doing something at multiple locations — here, looking at various shops. 時間をつぶす ('to kill time') is a colloquial expression borrowed conceptually from English. The counter 時間 with the number gives '1 hour.' The whole sentence captures casual, purposeless shopping.