Measure and add 1 tablespoon freshly squeezed lemon juice, 2 teaspoons low-sodium soy sauce, 3 tablespoons grapeseed oil, and 1/2 teaspoon toasted sesame oil to a clean Mason jar (or a small jar with a tight-fitting lid).
Add 1 teaspoon grated fresh ginger, 1 clove garlic (minced), and 1 tablespoon sesame seeds to the jar.
Close the jar tightly with the lid.
Shake the jar vigorously for about 30 seconds, until the oils and liquids are well combined and the vinaigrette looks emulsified.
Taste and, if desired, shake again briefly to ensure everything is evenly mixed.
Refrigerate the vinaigrette promptly and use within 2–4 days; shake well before each use.