Hi SNR1 - I just noticed your message.
The easiest way to connect the ASIair to a Gemini 2 is via a USB cable. You'll need the same type of USB cable used to connect a USB printer (USB Type-A male to USB Type-B male connection).
The USB Type-B end connects to the port labeled "USB" on the Gemini 2 (not the port labeled USB-A). You will not need to use the supplied USB-RS232 Serial adapter cable (this will work, but isn't necessary because the Gemini 2 has an integrated USB port so you can use a direct connection.)
You'll also need to make sure the ASIair is configured to the correct interface. This interface will almost certainly be /dev/ttyACM0. See:
The ASIair runs a variant of Linux. In Linux all "devices" appear as files in the "/dev" folder. A "tty" type device is basically a serial interface (from the days of serial tele-type terminals). "ACM" stands for "Abstract Control Model" and has to do with how the interface works. The "0" at the end means it's the first one found (if you plugged in more then they would be /dev/ttyACM1, /dev/ttyACM2, etc.) But as you will likely only connect one mount (because the ASIair doesn't support multiple mounts connected simultaneously) it should be /dev/ttyACM0.
The ASIair does not (yet) have a polar alignment module (hopefully that will be coming) -- but you will want an accurate polar alignment for good imaging results. (I currently use a PoleMaster ... but that means I still have to use my laptop -- at least long enough to do the alignment and then I can put it away). I am hoping ZWO adds this capability and that would end the need for a laptop completely. The Gemini 2 does have a built-in Polar Alignment Correction (PAC) system. Losmandy does have a video on how this works on their Losmandy YouTube channel (see: https://www.youtube.com/watch?v=yYiHldJ5CKA
Alternatives to PoleMaster are SharpCap Pro and also KStars/Ekos (KStars/Ekos is free) has a built-in polar alignment module (the one in KStars/Ekos is pretty slick since the pole solving is completely automated ... only the mechanical adjustment of the mount at the very end is manually performed.)
PHD2 has a polar alignment capability ... but it's really based on drift-alignment and this method takes time to perform (the methods that use plate-solving are much faster.)
The plate-solving methods (used by KStars/Ekos, SharpCap Pro, and PoleMaster) all require that you have a clear view of the sky near the celestial pole. The PHD2 method (that uses drift alignment) does *not* require a clear view near the celestial pole ... but does need a clear view near the celestial equator (but this method takes longer to perform.)
We'll have to wait and see what ZWO has planned for polar alignment.