I am also a (former) Cisco network engineer and have spoke with the Genesys training folks about looking at a open training model like Cisco or Microsoft. As said by the others, I got a little lucky with some CTI experience and got brought on by an employer that was using Genesys and sent me for training and gained experience. If you really wanted to learn you might even call up Genesys and see if you can get some dev/trial licenses to "evalulate" the software (there's Genesys guys on here so I am sure I'll be in trouble any moment).
A couple of things to keep in mind though from learning Genesys. Genesys is much more of a application/development with some configuration and install. However if your not working for Genesys, a partner or as a contractor the install and config can be few and far between (I guess that can be true for Cisco as well). If you want to get into development it does help to have a little programming knowledge especially if your looking to get into the SDKs or even composer. The other option is to become fluent on administration and knowledge of WFM or Info Mart (data analytics/sql/UI integration from my experience). You will also have to become familiar with the Genesys TLib structure, events, commands, routing functions, etc (again depending on what you want to do, but understand TLib commands and events was essential for me).
The other thing to keep in mind that Genesys is not as ubiquitous as Cisco, obviously not even close, although they are growing. The thing it usually comes down to with Genesys is cost and complexity vs flexibility, control, and functionality. I can honestly say I haven't worked on anything as open, flexible and powerful as Genesys, especially in contact centers (or centres depending on where you are from). However I have also hear people (including the voice in my own head) wonder if you pigeon-hole yourself into a specific product. i.e. if you know OSP, spanning tree, BGP, addressing, etc it translates to Cisco and other networking products. If you learn Tlib, Info Mart, Stat Server, TServer, etc, those are all pretty proprietary to Genesys and really aren't portable (except maybe some of the programming concepts). So from a technology standpoint if you have the aptitude and desire to learn there is Genesys work out there, but sometimes you have to be willing to move, contract, travel, etc and it can be fun and rewarding. However there have been times when I have asked myself why didn't I just get my CCNP/CCIE and stick with networking.
Probably more than you wanted to know, but that's my take.