Either is fine.
As an American, I would probably shorten it to:
When is the movie ?
What time is the movie?
2021년 6월 14일
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Hi Zoe!
Both are commonly used.
2021년 6월 14일
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There’s nothing wrong with the sentence, but I think that Brits would more likely use start than begin and we usually use the words film instead of movie
2021년 6월 14일
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The first is asking for a specific time. Answer: 3:00 pm
The second could be a specific time or an approximation. Answer: 3:00 pm, or 15 minutes, or soon.