。
She wants to get a driver's license.
Literal
She [topic-は] drive-license [object-を] take-wants is.
~たがる is the third-person desiderative — Japanese reserves the plain ~たい form for the speaker's own desires, since you can't directly verify what someone else wants. For others, ~たがる ('shows signs of wanting / appears to want') is the standard, framing third-person desire as an outwardly observable behavior. ~ている then puts that behavior into ongoing state: 取りたがっている = 'is in the state of showing wanting to get.' Driver's licenses in Japan are notoriously expensive and time-consuming to acquire (~30万円 and weeks of formal training at a 自動車学校), making 'wanting to get' a bigger deal than in some countries.