The two-minute black and white film, entitled 'Nymph', sees GaGa ditch her infamously outlandish outfits and dance in the wind wearing just a simple, silk dress.
A splash of colour is injected towards the end of the clip to highlight GaGa's blonde hair, blue dress and blushed cheeks.
Watch the 'Nymph' video for Lady GaGa's 'You and I' below:
The 25-year-old first revealed the stripped-down second promo on Twitter, announcing that the new video is one of five "fashion films" directed by Dutch photographers Inez van Lamsweerde and Vinoodh Matadin.
"Have a surprise for LittleMonsters!" she wrote earlier today. "Didn't just shoot 1 You and I music video. 5 more fashion films to come."
GaGa released the original video for 'You and I', which sees her dress as a man and a mermaid, around two weeks ago.
'You and I' remixes by Wild Beasts and Metronomy also premiered towards the end of last month.
GaGa revived her male alter ego Joe Calderone from the 'You and I' video at this weekend's MTV Video Music Awards.
Watch the original video for Lady GaGa's 'You and I' below: