Hi Steve_finlay,
The short answer is NO, the free data top up applies to Home Broadband on ADSL, Cable, Velocity and NBN technologies.
See:
http://support.telstra.com.au/t5/Manage/Home-Broadband-Three-for-Free-Data-Top-Up/ta-p/398489
For Mobile devices you purchase a Data Pack - available in various sizes, but unfortunately they are not free
See:
https://www.telstra.com.au/mobile-phones/plans-and-rates/data-packs-australia
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