Spread the sugar evenly in the bottom of a medium saucepan. Over low heat, let the sugar melt until it turns golden brown. Resist the temptation to stir the sugar because if you do, the sauce will be lumpy.
Once the sugar dissolves, slowly pour in the heavy cream.
Bring the sauce to a boil and then reduce heat to low and simmer until all the sugar has dissolved and a thick sauce has formed.
Remove the creamy caramel sauce from the heat and let it cool for a few minutes,
Once the caramel sauce reaches room temperature, transfer it to a small pitcher or glass jar and let it cool for up to two hours.
Notes
Make sure not to stir the sugar while it is melting. Stirring will cause the sauce to be lumpy and not velvety smooth.