Add the white wine vinegar and mustard to the glass.
Place the immersion blender all the way at the bottom of the glass.
Turn on the immersion blender and move it around in circles a bit while slowly adding the oil in a thin stream.
As your mayo thickens, gradually move the immersion blender upwards, still adding the oil in a thin stream. Move the immersion blender up and down as you approach the top.
Press the garlic into the thick mayonnaise.
Blend again with the immersion blender to mix well.
Serve your delicious, thick garlic mayo or refrigerate until serving.