For the tangy mustard sauce, whisk together the whole grain mustard, sugar, minced dill, and vinegar until everything is combined.
Cover the bowl with plastic wrap and chill it in the fridge to let the flavors meld together.
Now it's time to move on to the gravlax.
Place a salmon fillet, skin side down, on a large piece of plastic wrap.
Generously cover the salmon with fresh dill sprigs, making sure to pack it on for maximum flavor.
In a bowl, mix together the fennel seeds, brown sugar, black peppercorns, kosher salt, and lemon zest until well combined.
Spread half of this mixture over the dill-covered salmon fillet.
Next, place the second salmon fillet on top of the first, sandwiching the dill and seasoning mixture in between the two fillets.
Wrap the entire salmon "sandwich" tightly in plastic wrap, then place it in an airtight Ziploc bag.
Set the Ziploc bag on a baking tray, and then put a heavy object on top of it (such as a can of tomatoes) to help press the salmon fillets together.
Place the tray in the fridge for 24 hours.
After 24 hours have passed, remove the weight, flip the salmon over, and place the weight back on top of the Ziploc bag.
Return the salmon to the fridge and let it cure for another 24 hours.
Once the salmon has cured, carefully unwrap the plastic and rinse off any excess dill and seasoning mixture.
Pat the rinsed salmon dry with paper towels, and sharpen your best knife for slicing.
Carefully slice the gravlax into thin pieces, excluding the skin.
To serve, slice and toast some bread and place the gravlax slices on top.
Serve with the whole-grain mustard sauce on the side.