I'd assume it's from expression 'from the ground up'. If you do something 'from the ground up' it means that you start something right from the beginning.
The Ground Up Show describes itself as " a podcast that inspires creatives to make meaningful content and pursue their passions". The name reinforces this idea, implying that it encourages original, innovative, and 'grass roots' ideas, seeing them through from inception to realisation - "inspires creatives to make s*** happen".
It's a good name. And, like many catchy names, it's slightly ambiguous, and so makes you stop and think. In other contexts, it can have other meanings. For example if glass is 'ground up' it means that it has been ground ( past participle of the very 'grind') into a fine powder. The inventors of the show might also have been thinking of this idea. Who knows? The best names can often be interpreted in different ways.