Bought a refurbished iPad Pro which has 10.3.2 installed. Will I be able to get updated to the current iOS?

Given that your refurbished iPad is too far behind to be updated to the current version of iPadOS using OTA update from iPad Settings, you will need to employ a PC (with iTunes installed) or a Mac computer (with iTunes or Finder - as appropriate for the installed version of macOS) to install the update.

However, once successfully updated to the most recent version, future updates can be simply performed from iPad Settings.

Update your iPhone, iPad or iPod touch – Apple Support

No.

If you connect your iPad Pro to an older Mac, running an older Mac OS or Windows PC , connected to the Intenet, running the latest iTunes, iTunes shoukd just give you an alert to upgrade that iPad Pro to the current iPadOS 14.2.

If you own a newer Mac runnng a much newer macOS, then you can connect your iPad Pro to a newer Mac and use the macOS Finder to do the iPad Pro upgrade to iPadOS 14.2.

Best of Luck to You!

Yes.

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No. You can update directly.

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