How long does it take to get to space?

Short answer: A few minutes.

Long answer: The semi-official "start of space" is 100 km above sea level. This is called the Kármán line. Most rockets get to this point within a few minutes of launch, but it takes longer to reach their final orbit (or other destination). The exact timing depends on the rocket and other factors. Here are a couple of examples:

Notes:

TE AWAMUTU SPACE CENTRE
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