。
She holds a lot of auto industry stock.
Literal
She [topic-は] auto-industry [possessive-の] stock [object-を] a-lot has.
株 (かぶ) is the standard word for 'share, stock' — the same character originally meant 'tree stump' and was extended metaphorically to ownership shares. Japan's automotive industry — Toyota, Honda, Nissan, Subaru, Mazda — is one of the country's signature export sectors and a household-name presence on the Nikkei. 持っている is the resultative ~ている of 持つ ('have, hold, own') — Japanese typically uses the progressive/resultative form for ownership states, since bare 持つ describes the moment of taking hold rather than the state of having. たくさん is an adverb here, modifying the verb directly without a particle.