I am very surprised that we don't have a sticky about soap terms on the CP forum. I agree with Newbie as there are plenty of threads on this site about the terms. Usually when I am trying to figure something out I just throw it out on Google and it will usually come back with a link to SMF thread. Another good thing would be to watch some Soap Making 101 videos as I think she explains a lot of things great for a new soap maker. Since I have been in the new soaper boat, I will throw ya a bone on these:
Superfatting- This is where there is oils left in the soap that the lye has not saponified. The typical standard is 5% so that means 95% of the oils have been saponified while there is 5% left unsaponified. Now this isn't oils that are just sloshing around in your mold, it just means that the lye used up all it needed to make the soap and this is whats left. It can be beneficial if you are making a soap high in coconut oil as that tends to create a higher cleansing number and can make the soap drying to the skin. Superfatting can be adjusted on the soap calc when creating your recipe.
Gelling the soap- This isn't something that is needed to create soap and is up to the soap maker if they want to do so. This is a process during saponification when the soap is in the mold where the soap heats up to a higher temp which turns the soap translucent looking. As the soap cools it will go back to looking like a bar of soap. I have yet to see this myself in person since I try not to peak at my soap
Some people avoid gel because if they used something that can overheat their soap, they run the risk of overheating issues like cracks in the top, soap alien brains, and soap climbing out of the mold. Scary, I know but it is not too common especially if you take the steps to prevent it.
Curing the soap- THIS.IS.A.MUST!!! Veteran soapers and some of us that have been around for a little bit know the importance of curing. Standard is 4 weeks minimum but you can let it cure longer (the better) than that. This allows the excess water to evaporate from the soap and helps it become more mild, the lather gets better, and the soap may also last longer.
Hope this helps you along your way