My god that new boss was hell, I thought I was done for when everyone died ... I cried when the sad everyone's dead music played, BUT HOLY SHIT!! Godoka makes her appearance and then I cried again when Connect started playing.
Mechanics and shit are still the same, refer to the 3rd revision of this and find out yourself.
Otherwise, the only changes/additions are this boss, Kriemhild Gretchen (I think). And the the fact that Godoka herself and entirely broken.
Madoka comes with Max HP and SG (9999 and 999 respectively), all her skills cost 10SG and are:
めがみのしゅくふく - Blessing of the Goddess and fully restores all characters or HP and SG. めがみのかご - Another Goddess Blessing which gives your current party (being Homura, Mami, Sayaka or Kyouko) double HP and like 200 or 50% extra max SG, immunity to this boss' HP drain and Heartless Angel abilities and possibly a slight defense up. Also using this will also unlock everyone's final spells. ひかりのあめ - Rain of Light and does about 8000~9000 damage.
That's about all I'll say. Find out the rest yourself, you're smart enough ... probably.
It seems after 3 rounds (or after enough damage has been done to Kriemhild Gretchen, I'm not sure yet) Madoka gets a new skill called ひかりのや which is a horizontal version of ひかりのあめ that can also break the 9999 damage limit.