I would not learn from the primary literature, the terminology will likely be confusing and there will be a tendency to conflate whatever the current methods are with the concepts.
I'd suggest going for a basic introductory course in the topic, or a textbook. Here is a resource from NHGRI which may be helpful as an introduction.
Here is an online textbook section that might handle the topic at a very basic level. Here is an online version of a traditional standard text at the undergraduate level.
Probably the best somewhat more technical introduction to the basic concepts, without a lot of the fuss, is Mark Ptashne's classic 1986 book on phage lambda.
I saw Ptashne give a talk in the mid 2010s in which he declared (somewhat pompously) that we still didn't understand anything in gene regulation other than phage lambda. No one contradicted him, and I don't think that anyone would contradict him if he said the same thing today.