First Dr. Appointment-Thoughts?

Megan • 2 first Tri losses, one rainbow baby-Finley James, and one second Tri loss-Eleanor Ruth
So DH and I just got done with my first Dr. appointment (to confirm pregnancy).  I have a couple of issues...they didn't do a blood draw to confirm, it was just a regular urine test so I have no idea what my HCG levels are. 
Also, she wanted me to schedule another appointment in 3-4 weeks as my first official OB appointment and said that we would hear the heartbeat then.  She said we wouldn't be getting an ultrasound until 5 months!!
Are these things normal?  This is my first pregnancy so I don't know what to expect.