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That's pretty normal; Sims 3 is a very CPU-heavy game. So long as you've bought a computer which is solid enough to game on (which your system specs will confirm or deny), it shouldn't be a problem. In any case, CPUs and mainboards tend to be the most robust components in a computer, so CPU stress won't do noticeable damage.
The hard drive space that's used by Sims 3 will be freed up if you uninstall, yes. Memory, however, usually refers to random access memory (RAM) which is something totally different - while you'll probably have several hundred GB of hard drive space, you probably only have 4-8 GB of memory. Memory isn't affected at all by what files or programs you have saved/installed, only by what you actually have open and running at the moment.
What I lack in decorum, I make up for with an absence of tact.