Is there a word for the front seats in a car? I can think of "the driver's seat" for the driver's seat, and "first row of the car" to refer to the front seats, but it's an awkward phrase, so I am wondering if there are better alternatives. I can't really think of one.
Yes, from MW,
the front seat of a vehicle (such as a car) where a passenger sits
While passengers could also sit in the back seats, if you use the term "passenger seat" it (at least in the US) it always means the front seat that is not the drivers seat. So much so that the sides of a car are called "drivers side" and "passenger side".
Riding shotgun. People used to say "I'm riding shotgun." It means "I'm going to sit in the front next to driver."
1.1 Ride in the front passenger seat of a vehicle.
‘Jacob got in the back seat next to Katie and Jessica rode shotgun’