no need to go with a empty stomach. my gynae did a ultrasound scan but couldn’t heard the heartbeat then cos it’s still very early stage (week 6), advised me to go back 2 weeks later. as for your first appt, you should prepare all the questions you wanna ask i.e. things you can eat/drink, what to expect in the next few weeks etc. also tell your gynae if you are suffering from any morning sickness and see if he can offer you with any remedy.
My first appt was just a scan in my 6th week. And prescribing multi vitamins. And no you do not need to fast!
https://sg.theasianparent.com/first-prenatal-visit?utm_source=question&utm_medium=recommended
Drink water for urine test