You will eventually reach equilibrium with the ambient outside temperature, if you're not actively heating/cooling, and the ambient outside temperature remains constant.
The house will absorb some energy from sunlight, especially through windows, so it may be possible that the inside will never be quite the same temperature as the outside.
It can very easily be a lot hotter inside than outside, especially in the summer. Something pretty obvious. But nonetheless an mildly expensive lesson learned back in the summer of 2007 when I "boiled" the contents of a planted and stocked aquarium when I left the house for a few days and forgot to turn the AC on. Ugh.
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