Though it looks intimidating, alignments are very simple.
The top row of Lawful, Neutral, Chaotic is in how the character sees laws that govern a society.
The left column of Good, Neutral, Evil is how the characters believes about individuals towards others in society, their compassion, or lack of, for others (how they see others should behave in society).
Characters alignments are always stated first, from the top row, then left column.
For example, if someone says they are “Lawful Good” it means they believe in laws the govern the lands or themselves, like an oath (Lawful) and the second part, “Good” means it’s their job to society to do good for others (Good).
If someone states they are “Chaotic Good” it means they do not believe in any laws in any society (Chaotic), the second part, “Good” means it’s their job to society to do good for others (Good).
There are comprehensive examinations of these alignments, but that is the gist of it.