For a $1500 budget and a first handgun, I don't think I would suggest just one. You don't need the best for your first, just something reliable and accurate that feels good. .22lr is probably the best caliber for a new handgunner in order to get in a lot of cheap practice, and even if money is no object the recoil on the .22 is very low so you are less likely to develop bad habits (jerking, flinching). You also should get something in 9mm, .40, .45, .38spl, .357mag for home defense.
I'd get a .22 of some kind (maybe a Ruger but they can be hard to take down) and a lot of .22 ammo.
Then, shoot everything you can at the rental range. What they don't have to rent, try to handle at a gunshop. Handle and shoot as many different guns as you can to see what YOU prefer. Don't just check out the autos, check out the revolvers too (there are some great revolvers out there, a quality revolver tends to be a little less than a comparable auto, and they are great beginners guns)- you just may find you like them.
If you decide you like 1911s, SIGs or HKs I'd set about an $800-900 limit. Otherwise, go for something reasonably good and learn on it, and save the high end gun for later. Something like a Ruger P95, CZ 75B, Taurus, used SIG or Glock, etc. would be a good first gun.
Try to keep it under $300 for the .22, under $500 for the service caliber gun (and get at least a "mid-sized" pistol like the SIG 229, CZ PCR or P01, Glock 19, or Taurus PT911 or get a full-size, for now you should skip the small CCW pistols), and spend the rest on ammo and training. If the $1500 is just your gun budget and you have other money for a lot of ammo, put the rest to training. SIGArms Academy, S&W Academy, Front Sight, etc. are great facilities, if you aren't close to them and can't take a few days off work, find a private NRA instructor in your area for some 1 on 1 training.
Then after a year or so, spend the real money once you have a better idea what you like in a gun, and know more about guns in general. You'll probably appreciate it more then anyway.