Thanks! The reason it was not automated yet, is that non-biologists (including CS engineers) don't know that individual steps are that simple; while biologists do not have experience in thinking in abstractions, and so they simply not seeing that they are doing effectively same operations, just with different reagents.
In general, biologists are very busy pipetting faster than their peers, so they can secure scarce professorship positions. They simply have no time taking step back and looking at more general picture.
People who have skills necessary to build a robot and understand biology, have opportunity to work for companies that pay salaries 5 times higher than academia pays, so they don't bother.
I would not recommend doing any home experiments, especially without professional laboratory experience. Most of the experiments contain dangerous, poisonous or potentially explosive chemicals, and as for a newcomer, the risk is too high.
Instead, I would recommend finding a local biotech interest group, join them and go from there. Alternatively, you can find a local biotech lab and volunteer to help a grad student or postdoc with their project. This is more common than anyone may think. This way, there are no obligations, and you can leave if you don't like it; at the same time, you will get exposure to the state of the art biology.
Again, don't be afraid that you will not be able to bring anything good; biology as a science is ridiculously simple, and if you already have CS or electrical engineering background, you will have no trouble catching up within a month or two (that is how long it takes to our grad students who come from non-biology background to start bringing in new valid scientific ideas).