Are blog entries treated the same as Facebook posts from a legal standpoint?

If copyright is involved, the rules are the same for Facebook and blogs. In short, don’t infringe on someone else’s material; if someone infringes on yours, register a DMCA complaint.

Here’s some background information

Keep in mind that when you share something on Facebook (unless you copy it to your computer and re-paste it), you just have a “window” into the original picture or video on your timeline, not the actual picture or video. So copyright issues don’t really come up.