In a medium oit, melt 3 Tbspn butter over medium high heat. Add onions, salt, pepper, and nutmeg and cook, stirring until soft, 3 minutes.

Add garlic and thyme, cook stirring until fragrent for 20 seconds.

Add the flour and cook stirring until the mixture is well blended.

Slowleybadd broth, whisking constantly and bring to a boil.

Reduce heat and simmer until thickened, about 5 minutes.

Add broccoli and cook, stirring until tender, about 10 minutes.

Remove pot from heat and puree with blender and return to pot.

Add cream and bring to bare simmer to heat through. Add cheese and cook over low what until melted.

Add remaining rwo tablespoons of butter.