No, H81M-P33 will not be shipped with updated BIOS for Haswell Refresh, you will have to visit local computer store or have to own LGA1150 CPU in order to update BIOS before you can use G3258.
You could look for Asus motherboard if you want to save some bucks, but make sure you look into this list: http://www.asus.com/microsite/2014/MB/New_4th_gen_Intel_processor_compatibility/
to make sure the motherboard has USB BIOS Flashback function on it.