During your first doctor's appointment, it is common for hospitals to perform an ultrasound. This allows the healthcare provider to confirm your pregnancy, estimate your due date, and check for any potential issues. The ultrasound can also provide valuable information about the health of your baby, such as heartbeat and development. However, it's important to note that practices may vary between healthcare providers and hospitals. It is best to consult with your specific healthcare provider or hospital to understand their procedures and what you can expect during your first appointment.