Bloom the gelatine. Place the lemon juice in a small bowl and sprinkle the powdered gelatine over the top. Stir with a fork and let it sit for a few minutes until the gelatine softens.
Blend the raspberries. Add the fresh raspberries to a blender or food processor and blend until smooth.
Pass through a sieve. Set a fine-mesh sieve over a saucepan and pour the raspberry puree into it, using the back of a spoon to push it through. Scrape the underside of the sieve and discard the seeds. You should have about 300 ml (1¼ cups) of raspberry pulp.
Heat and thicken the puree. Place the saucepan with the raspberry puree over medium-low heat. Add the granulated sugar and bring to a simmer, stirring frequently.
Add the gelatine. Stir in the bloomed gelatine mixture, heating gently (do not boil), until the gelatine dissolves. You may need to press the gelatine against the side of the pan.
Remove any lumps. Take the saucepan off the heat and pass the raspberry puree through a fine sieve set over a bowl to remove any remaining gelatine lumps (this step is optional if the gelatine has fully dissolved). Allow the puree to cool to room temperature, about 20 minutes.
Whip the cream and mix with the puree. In a separate bowl, whip the cold double cream using an electric hand mixer or stand mixer until soft peaks form. Gradually fold in the cooled raspberry puree in three parts, mixing until fully combined.
Set the mousse. Pour the raspberry mousse into the prepared springform pan over the cooled chocolate sponge. Smooth the top with an offset spatula. Cover and refrigerate for at least 3 hours, preferably overnight.