Knowing VERY little, I still feel the answer is: EASILY enough.
Pumps can be "up-rated" or "full-rated", and the latter is closer to the real HP. Still, even an "up-rated" 1hp pump should EASILY handle your pool, and won't have any trouble moving your water.
But the real issue is flow rate--gallons per minute. It's really, Really, REALLY important that the pump's flow late be LESS than the maximum flow rate of the filter. Otherwise you damage your filter and get lousy performance.
Don't be taken in by HP. More HP is not necessarily a good thing. It burns electricity, can damage your filter, and doesn't get you much.
My mom and dad had an 18x33 oval and ran 3/4hp pump for years on it with no problems--and that's bigger than your pool. I do not know if the pump was FR or UR, but I suspect UR as it was an "Above Ground" pump.
I run a FR 1hp pump on my 16x40 rectangular pool and almost always run it on low speed (it's a two speed which I really treasure).
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