Nope, other way around. A sigma represents one standard deviation. So, if it's one sigma, it's one standard deviation. This can be confusing, because you have to be clear what you're talking about. With the CERN result, they're talking about confidence. They're saying that they're confident to a 5 sigma level of certainty that the result is not just background noise. What that means is that if it was background noise, it would be an outlier on the level of 5 standard deviations from the mean.
About 68.27% of the values lie within 1 standard deviation of the mean. Similarly, about 95.45% of the values lie within 2 standard deviations of the mean. Nearly all (99.73%) of the values lie within 3 standard deviations of the mean. So, if you have a 3 sigma level of confidence that a result is signal rather than noise, you're saying that basically the odds of the result being background noise are .27%. 5 sigma, of course, is much stronger than this. The result CERN provided claimed 4.9 sigma, which corresponds to 99.999904%. So this is kind of like saying that the odds of the result being inaccurate are .000096%. That's not exactly what it means, but it is an okay way to think about it.