Pros
Having worked at other oil companies in Houston, I call tell you that Chevron's corporate culture is great. In my expereince managers are collaborative, people treat each other with respect, and work/life balance is promoted. My role, while not technical, is still valued by management as a strategic supporter of their business.
Kontras
Too much process. Chevron's phase-gated process to help manage projects (CPDEP), is a great tool for major capital projects but horrific for smaller ones. It is often used as a weapon for halting a project. In my non-petrotech role I work on smaller projects (under $1 million, often under $500K) and have spent more time using CPDEP than is necessary. It's maddening. There is often a lack of respect from some of the technical employees for anyone without a technical degree.