Just installing the compressor is a no-brainer -- just a couple of bolts holding it down and a bolt holding the fitting to the back.
It is the other stuff that is problematic...
The system contains Freon R134a, which cannot be legally vented to atmosphere, which means that it needs to be suctioned out by a vacuum pump. (Note that a lot of home mechanics wink at this legality and dump to atmosphere... I do not advocate that practice.)
An inexpensive vacuum pump that will get the job done can be had at Harbor Freight (cost around $10 on sale). You will need one in any case if you intend to also re-fill the system with Freon.
Next, you need to add the correct compressor oil, which is specific to R134a systems. You will need to look up the type and amount -- generally a couple of ounces of PAG, but I may not be correct on that.
Then, finally (and this assumes that there are no other problems in the rest of the system as a result of the old compressor going bad, which may or may not be true) you will have to recharge the system with Freon 134a. To do that, you need to evacuate (with vacuum pump) the system, then introduce the correct amount of Freon, testing with a set of guages for that purpose, until you have correctly charged the system.
Can this be done at home by a beginner mechanic? Absolutely. I rate this job as about a 5 or 6 on a scale where 10 is the most difficult. Once the tools for the job are in hand, the rest of the work is fairly simple, and there are plenty of resouces to guide one through the process of charging the system, etc.
However, if you think that just swapping compressors and dumping in a can of Autozone freon will work, you don't understand the process and it won't...