@ MaltiK : I think you are going to have to study what PDF's there are while looking at the demo code and whatever else can be found via Google and in forums elsewhere. It looks like the product is designed to be usable with the Basic Stamp so should be usable with a PICAXE.
Obviously it's going to be more understandable and easier to use with the product it is designed to be used with but it should be possible to get something which works with the PICAXE. Unless someone has already done this, you get that adventure for yourself.
Where I'd start is in determining how it is powered and how serial connects. Then get some sort of serial working with a PICAXE; send a command, receive a response. Then move on to sending meaningful commands and get meaningful responses.
After that it's getting familiar with what the commands mean and how they can be used, and of course, what you need to do to get what you to achieve.
On tip with datasheets which have lots of factual data but little 'how to' is to ignore that which isn't immediately relevant, eg, who cares about colour balance to start with when all you want is get a response, meaningful or not, who cares about tracking going wildly off the scale when you only need to prove it can track. Once you have got to grips with what you need to it is usually the case that what you didn't understand earlier makes more sense later.
Always have a full read of a manual or datasheet so you at least know what it contains even if you skip the details. Note what seems to be important then start with understanding those in small pieces, most necessary things first.