As far as I know in Indiana the process for buying a handgun is pretty simple. You go in, fill out the ATF Form 4473 (you will need a government-issued ID of some kind, your social security number), pass an NICS background check, pay the man and walk out with it. There is no state mandated waiting period for firearms purchases in Indiana. On 11 May, 2011 Gov. Mitch Daniels signed into law a preemption law which, with only a few exceptions, makes the gun laws throughout Indiana uniform and leaves the regulation of firearms to the legislature. The gun dealer will know, you might want to chat with the dealer about local requirements.
Firearms law:
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State Preemption:
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Happy shopping!