You for sure should go in if she and you are comfortable. You will be able to hear the heart beat, ask any questions you are concerned about, and see how good the baby is growing by getting updates and things.
Your being a great spouse and dad! Just be there to comfort her and be excited. I love it when my hubby gets to make appointments plus I feel more comfortable and less nervous. Congratulations!
I think its an important part for the dad to be there. And its up to her also if she wants you to go to every doctor app. I loved when my boyfriend came with me for ultrasound and even for examinations because i was more relaxed with him there holding my hand standing by my side. But some people may be different. Did you ask her?