Sampling Error vs Standard Error of the Sample Mean referring, concepts, understand, difference, standard

cyber21

Just wanted to make sure I understand and can differentiate between these two concepts:

For say a sample/population mean, I understand sampling error to the difference between the sample mean and the population mean. Essentially, its the difference that results in inherent differences between the sample and population.

For a standard error of the sample mean, is this referring to the standard deviation of the sample mean (ie. with x% confidence and the standard error, you can reject the null hypothesis and state the sample mean is representative of the population?)

thanks for your help.