Break off florets and peel the skin from their small stems as much as possible. Rinse and drain well.
Heat a wok or large heavy skillet over high heat until hot; add the oil and swirl and heat for 30 seconds.
Toss in ginger slices and press them in oil; add broccoli and stir and toss for 5 seconds.
Turn heat to medium high and toss and turn very quickly until they turn a brilliant green.
Add the salt and sugar; stir briefly. Add stock, cover, and stem cook vigorously over medium heat for 2 1/2 minutes.
Uncover and stir the florets rapidly until all liquid is gone.
Dribble in sesame oil - give a few rapid folds and pour into a hot serving dish.
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