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I think anyone would be hard pressed to go from 0 hours to a Private Pilot Certificate in 2 weeks, no matter how much of a "natural" you are...
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I totally agree with that assessment! Lotta new stuff coming at ya otherwise, and it's difficult to digest it when it's coming out of the fire hose. My CFI did his PPL in about 3 weeks doing nothing but flying and studying, but he said a) that was really pushing it, and b) it wasn't very fun. He was doing it that way to grease the skids on an air national guard pilot slot.
The other thing that you'll soon find out is that flying wears you out! Sure, it may have been only an hour spent seated in an airplane, but it's an hour of intense focus on your part and that level of concentration can really be exhausting. You'll see what I mean when you get rolling.
Otherwise, if you fly 2-3 times a week, you can plan on about 6-8 weeks being a reasonable timeframe to get your PPL, as Falcon Capt said. A "normal" training progression is something like this:
(just a series of concepts, doesn't necessarily correspond to 1 concept per flight; you might need more time on a given area, you might need less.)
a. preflight and ground ops
b. straight & level, turns, climbs, descents (the "4 fundamentals")
c. takeoffs, ground reference maneuvers
d. slow flight/stalls, simulated instrument (hood), unusual attitudes
e. landings/pattern work
f. emergency procedures, more landings
g. solo!
h. precision takeoffs & landings (short & soft field, no-flap)
i. solo practice in the pattern
j. navigation, lost procedures
k. solo practice in the practice area (airwork, ground ref, whatever)
l. dual cross-country
m. local night ops, takeoffs and landings
n. radio navigation (VOR tracking, etc)
o. night dual cross-country
p. solo cross-country
q. long solo cross-country
r. 3 hrs of checkride preparation/solo practice
s. checkride w/DE
As you can see, there's a lot of stuff to cover and much of it mentally "gels" at different rates. Everyone's absolutely right that your primary flight training is laying the foundation for all the flying you'll ever do; focus on becoming the best possible pilot you can, not the one who finished his PPL in the least amount of time or money.
Good luck with whatever you find works best for ya, you've stumbled upon a great reference here in the site...plenty of people in the same stage of things you are, and plenty of others who've been there, done that, and made PLENTY of mistakes you can learn from!
