Well, not everyone in the city will have been up dancing until dawn...
If your flight is scheduled to arrive at 7:15 am, it'll surely take you at least an hour or two to grab your bags, hit the ATM for some Euros, get through customs, make your way to your hotel, drop your bags with them, get some brekky, etc. So yeah, you will still have the typical dilemma of arriving in Europe, sleepy, and (probably) needing to wait until afternoon to check in (although it's certainly worth asking at your hotel how early you can have your room). The dilemma is always to try and stay awake, the common tactics are to be outside, walk around, get fresh air and sunshine, avoid sitting inside for long periods, fight the urge to take a nap, etc. For me, it means no museums, and a long walk to take in the arrival city. Try to stay awake until dinner, grab a light meal, then hit the sack for a very deep sleep. Set two alarms. :)