。
She's planning to start learning to drive soon.
Literal
She [topic-は] soon driving [object-を] learn intention is-being.
近く ('soon, shortly') uses the 連用形 form of 近い ('close, near') as an adverb of time — distinct from 近く ('nearby, close to') the place-noun. ~つもりでいる (vs. plain ~つもりだ) emphasizes a sustained intention — 'is in the state of intending,' a held mental position rather than a momentary plan. 運転を習う ('learn driving') is the standard collocation; 教習所 ('driving school') is where most Japanese drivers train.