Start by selecting an elegant martini cocktail glass for serving the drink. In order to prepare it, place the glass in the refrigerator, and allow it to chill. A misty, slightly frosted exterior will give the glass a refreshing look, and add to the coolness of the drink.
Meanwhile, take a large cocktail mixing glass, and fill half of it with ice cubes. You can also used cracked ice for this purpose, but it tends to melt easily, as compared to regular ice cubes, and may give your orange blossom cocktail a slightly watery taste and texture.
Once the cocktail mixing glass has been layered with ice, proceed to pour 3/4 oz of good quality gin, 3/4 oz of sweet vermouth, and 3/4 oz of fresh orange juice into the mixing glass. Stir all the liquors and juices about for around 15 second or so, in order to make sure all the ingredients are properly mixed, and all the flavours have blended into each other.
Your orange blossom cocktail is now ready. Take the frosted martini cocktail glass out of the refrigerator, hold a strainer over the glass, and pour the orange blossom cocktail into it. Garnish the drink with a lemon, lime, or orange wedge, and serve chilled.