not anything like / near 是口语用法，用于强调否定句，意思是“一点也不”、“根本不”。例如：

We don't have anything like enough money to buy a new car. 我们根本没有足够的钱买新汽车。（《朗文当代高级英语辞典》第5版 p91）

所以，你的句子意思是：In fact she didn’t have anything like enough money to spend a week in Paris. 事实上，她根本没有足够的钱在巴黎度过一周。