Julius Caesar was famously bald, and although then as now bald men had a sexy reputation, he was embarrassed about it and combed his remaining hair forward to hide his very high forehead. His laurel wreath also came in handy.
And, no, he did not burn down the Library of Alexandria. When he died, Christianity hadn't happened, and this act of vandalism was a Christian act.
It's possible Julius Caesar accidentally set part of the Alexandrian Library on fire, but it was not destroyed by Christians as Anneza has said--its final destruction was by Muslims in 642.
Not sure what's wrong the the above posters, people name their kids this all the time, just not with this spelling. I think the most common spelling nowadays is "Cesar," especially in Spanish-speaking countries, and it's not seen as pompous at all.
I never knew that "Caesar" likely meant "hairy". *Very* descriptive! But is it a good description or a bad one? I could imagine giving this name to a furry dog, with that in mind.