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The formula for the standard deviation is the one given on the webpage http://-/descriptive-statistics/measures-variability/ . Or you can use the Excel formula STDEV as usual. In the case of the paired t test you calculate the standard deviation on the difference between the data values for the two samples (as shown in Figure 2 of http://-/students-t-distribution/paired-sample-t-test/ ). The standard error is then this value divided by the square root of the sample size, as explained right after Figure 2.
If you download the Real Statistics Examples Workbook you can access the spreadsheets for all the examples on the website. From these spreadsheets you can see how all the calculations are done.
Writing: A Class Project
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A young man is impressed with the Alamo.
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A woman writes about a traditional pink dress.
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A young woman describes alligators in a swamp.