Climate change is an issue that's very difficult for the layperson to evaluate as it's such a diverse topic involving many areas of science. It isn't easy to develop a good, basic understanding of the issue based on the science behind it as it's all so complex.
Fortunately, the Royal Society and the US National Academy of Sciences have put together a publication which provides the scientific findings on climate change in a non-technical, jargon free manner.
The PDF can be downloaded here: climate-change-evidence-causes.pdf
This is a highly credible authoritative source of information for the critical thinker.
One section deals with providing the evidence and there's also a section of questions and answers where the most common areas of concern and confusion are dealt with.