You calculate the mean of your sample, that is the mean estimate of the target population. Next you conduct m simple random samples with replacement of the your sample (all being equal to the sample's n-value) and calculated the mean for each sample. Yes, that distribution of means serves as the possible mean distribution of the target population and the 2.5 and 97.5 percentiles serve as estimates of the 95% CI of the mean for the target population. The splendor of the BS is that it is a distribution of paramaters and, yes will be approxiamately normally distributed given you had enough BS samples. Height isnt a good example since it is usually normally distributed (based on a bunch of genes, environmental and epigenes conditions). Instead some thing skewed like length of hospital stays will better display how a dist can be skewed but the distribution of its parameters via BSing will be normal.