Plain yogurt can contain sugar without a spoonful being added. The explanation sits in the milk itself: lactose, its naturally occurring sugar, travels into the yogurt as an ingredient of the milk rather than as a sweetener. That distinction matters when reading a nutrition label.
Fermentation changes the sugar, but it rarely clears the cupboard. Yogurt cultures use enzymes to break lactose into glucose and galactose, then convert some of those sugars into lactic acid. The acid gives yogurt its tang and helps milk proteins form the familiar gel. Some lactose remains. How much depends on the cultures, fermentation conditions and processing, including whether the yogurt is strained. Fermentation does not make every yogurt lactose free.
The more useful question is not whether a yogurt contains sugar, but where that sugar comes from. Flavored varieties can include sweeteners, while fruit preparations, granola and other toppings may contribute sugars of their own. Labels deserve a look. Where nutrition labels list both total sugars and added sugars, the total includes sugars naturally present as well as those added during production. Comparing the same serving size helps, because a larger pot can make a modest concentration look like a heavier dose. The plain tub, meanwhile, offers a small reminder that a number on a label can tell the truth without telling the whole story.