Olaf is 'fully character' and 'fully symbol' from the moment that Anna, Christoph, and Sven hear his voice. Elsa's dormant playfulness is awake -- and much more. The preceding animation features panoramic, crystalline winter beauty -- frozen waterfalls, glitter encrusted willows -- causing Anna to declare "I never knew that winter could be so beautiful." Olaf enters with vivid color suggestions; his antics are rife with comic relief, gags only a snowman could complete, and his song about summer seems to be part of the fun. "I don't know why," says Olaf, "but I've always loved the idea of SUMMER and SUN and all things HOT--" Theatrical improvisers relish 'games' like this one: his character- deal is to obtain something fatal to only him! We're treated to some quality comedy as Olaf's solo absorbs us into a jump-cut-montage of warm environs where snowmen would perish; hilarious! Though it would be an excellent throwaway sequence, Olaf's role in the rest of the movie leads me to believe that his summer-time aspirations are thematically key.
The person who snatches the glove rarely understands what is beneath. Anna releases the literal winter within Elsa in a heated moment. Elsa takes that unwanted first step into the unknown, toward finding-out what she's capable of doing-- forced to embrace the risk of loss. I never wanted that moment, either. I know what it feels like to be a storm pretending to be a statue; to try to hold 'the stage'; to believe that life depends upon a glove. She loses control. They call her a monster. She flees. Her fears come true and even worse. Feel that with me.