The way you'd play with me like a child

from Lana Del Rey – Young and Beautiful Lyrics on Rap Genius

Meaning

EITHER:
Her and her boyfriend would fool around and enjoy their youth by doing childish things. Instead of growing up and acting more mature, she would still play childish games with her boyfriend in the wonderful weather, and live whilst they were young.
OR
They would fool around and do stupid things in their relationship, back in the ‘honeymoon stage’ of their relationship. Of course, they may still do these things, but not as frequently, as they are growing up now. She may be still beautiful, but they are not as young as they once were.

This could also be a reference to this line on her song American

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