Yes, the right hand courses are the courses that match the UC courses (the term is articulate). You can look up any community college in assist, pick a UC, and then a major and see the major req and what classes articulate to the UC ones. The major req remain the same, but the actual articulated courses and whether or not they are available will be different at each CCC.
Re breadth/ ge, look at the top of the page on assist listing the major req. It will say breadth or IGETC. IGETC is another form of ge requirements. You either fulfill UGETC or breadth, depending on major. An easy way to check out IGETC if you know your CCC is just google IGETC and the community college name. That particular IGETC form should show up and will tell you all the courses at that CCC that fulfill the IGETC categories.
Depending on UC campus, anywhere from 90-94% of transfers come from the CCCs.