Clean and remove the tops of the strawberries, then quarter or halve them, depending on their size. Aim for somewhat evenly sized strawberries, although this does not have to be exact.
In a small saucepan, combine sugar, water, and strawberries. Heat over medium-high heat until simmering, stirring occasionally. Simmer for 8-10 minutes until the berries are soft and pale in color.
Remove from heat and strain out the berries through a fine-mesh sieve, being careful to not press the berries through but rather let the syrup strain out on its own. Discard the berry remnants.
Optional: stir in a squeeze of fresh lemon juice to bring out the berry flavor if it's tasting flat; it's not about adding lemon flavor but rather enhancing the strawberry notes.
Let cool as needed and use immediately, or store in an airtight container in the fridge for up to 2 weeks.