Pugs need very little grooming thanks to their short, smooth coat. Apart from a regular brush with a firm bristle brush, the occasional shampoo is all the grooming your Pug is likely to need. When you do give him a shampoo, do remember to dry him off as quickly as possible to prevent him catching a chill.
Most importantly with a Pug, its skin folds should be cleaned regularly. Because air cannot circulate within the folds it is a breeding ground for harmful bacteria. Make sure you clean your Pug’s facial skin folds at least once a week (more often is preferable). Ear swabs (cotton buds) or tissue are perfectly adequate for this simple task.