Check out flashrom, it can read the contents of most motherboard flash chips. (It can also write them but that's beyond the scope of your question.)
Unfortunately in your case the BIOS and ME are locked, so flashrom can't read the chip, and I don't think anything else can (that's the whole point of the BIOS lock). You'll need external tools to read the flash memory: Intel's own tool (used to upgrade the BIOS), or an external reader.