Since I have been helping train over 1000 people how to use iDevices, it might be helpful to explain what Apps are. They used to be called Programs, and Apps is short for Applications. The app situation seems to lead to amazing confusions with some people, so hear I will attempt to unconfusalate (if only that was a word).
Contrary to some misinformation, the iPad and iPhone (iDevices) do actually run a subset of Mac Operating System 10 (aka Mac OS X) that runs on Macs. I say this as I have even heard sales people assuring prospective iDevice buyers 'Don't worry, it's not running Mac OS X, it's a completely different system.' This is actually sales-speak shorthand for 'don't worry about all that anti-Mac fear we have been instilling into you all these years so you'll buy PCs that gives us a way higher profit margin, don't be scared of this iPhone/iPad' as we want you to get it, and especially we want to get some accessories for it because, like Macs, we make bugger-all margin from them but it's a high visibility product'.
However, it's not true. iOS for iDevices is a subset of OS X and runs a lot of, albeit less of, the same code. But since the iDevices have less capacity and are controlled via a touch interface, and the Mac still uses remote input (ie, trackpad/mouse) the interface part of iOS is fundamentally different to Mac OS.
Confusingly, perhaps, you need to buy or get apps for the Mac that are coded to use the mouse/trackpad interface, and separate-but-equivalent apps for the iDevices that are coded for their touch interfaces. There are therefore many Mac apps with iDevice equivalents, and vice versa, but also many apps for one or the other platform only.
The Mac Apps are only available in the Mac App store on your Mac, or from websites of software vendors and/or the developers themselves. To find those kinds of sites sites, I usually search like this, with a 'search string': 'mac app download *__' (name of, or type of, software). Better is a search like 'best mac app download weather', as an example.