Make the simple syrup: In a small saucepan, combine the sugar, rosemary, and water. Bring to a boil over medium-high heat. Once boiling, cook for 2-3 minutes, until the sugar has dissolved and the rosemary is fragrant. Remove from the heat.
Strain the herb syrup through a fine-mesh sieve set over a blender. Add the pineapple and lemon juice. Blend on high speed until smooth.
Divide the mixture between 6 ice pop molds. Freeze until solid, at least 6 hours.
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