In a medium bowl, combine the sliced strawberries and 1/2 cup of the sugar. Gently toss to coat the strawberries and let them sit for about 30 minutes to macerate, allowing the juices to release.
After 30 minutes, mash the strawberries with a fork or potato masher to your desired consistency (smooth or chunky). Set aside.
In a separate large bowl, whisk together the remaining 1/2 cup of sugar, heavy cream, whole milk, vanilla extract, and lemon juice until the sugar is dissolved and the mixture is well combined.
Stir in the mashed strawberries, mixing until evenly distributed.
Pour the mixture into an ice cream maker and churn according to the manufacturer's instructions, typically about 20-25 minutes, until it reaches a soft-serve consistency.
Transfer the ice cream to an airtight container and freeze for at least 4 hours or until firm.