no second form.
he starts the battle from the default teleports, fireballs (but this time he fires a whole lot of them), lavaballs and some sort of energy shower thing (uses rondo dracula second form's green projectiles).
if you're too close he'll swing with his cape upwards to hit you. if you're trying to fly to avoid his moves he'll cause huge ground explosions that'll knock you down.
after you deal enough damage he goes "serious". his pose changes and he starts doing different moves. some of them include:
genocide cutter - dracula kicks kind of like rugal in kof
bat summon - drac shoots a seemingly endless stream of bats
wolf summon - drac summons a bunch of wolves
energy shower - shoots several of the rondo green projectiles, except purple, they start falling on you.
soul steal - dracula dashes forward and disappears, then reappears close to you on the ground and tries to grab you, and if he does he drains a lot of life from you.
flying - dashes forward and disappears, then reappears in the middle of the screen, floating. a while later he'll cause explosions under you. if you try to fly/jump over him after he's done teleporting in he'll use his cape to hit you.
there's probably more, but if you stay in air he'll be only doing the soul steal and flying, and to be honest if you stay on the ground you're dead.
once you beat him he starts charging, then few seconds later he makes a massive explosion that envelops the entire screen and instantly kills you (9999 damage per hit, hits multiple times per second etc). it also lasts forever, so you can't wait through it. you have to equip all 3 dominus glyphs and use them with up+attack to finish him off, otherwise you're dead.