Though in the US, they receive a postgraduate degree (as do medical doctors), not just a bachelor's.
Technically they could receive that degree without a bachelor's degree, but I've never heard of anyone getting into medical or dental school without having received an undergraduate degree.
Typically, here, people start studying medicine or dentistry straight out of secondary school at 17 or 18 years of age. Medics qualify 5 or 6 years later with an MB (Medical bachelor), dentistry (Bachelor of Dental Surgery) typically takes one year less though the summer breaks for dental students can be as short as just one month. They can be back doing practical clinical dentistry in early August while the medical students are off until the start of October.