There are a few points to this.
First, you need to decide whether you want to save the data or just hold it in memory. Saving it to the hard drive will be more complex, depending on the format of your data, but you can search for "file" in the example finder (Help>>Find Examples) and look at the VIs in the file I\O palette.
If you simply want to hold the data in memory until the next time the VI is run, you can simply use a local variable or a shift register. You can search the example finder for "shift register" for some examples.
The key to what you want is using multiple plots on your graph\chart. When you do, you can take the data from your last run and simply insert it into the graph as an extra plot, which will be visible at the same time as your new data. Again, search the example finder, this time for "graph" or "chart" to see how to work with multiple plots.
To learn more about LabVIEW, I suggest you try searching this site and google for LabVIEW tutorials.
Here and
here are a couple you can start with. You can also contact your local NI office and join one of their courses.
In addition, I suggest you read the LabVIEW style guide and the LabVIEW user manual (Help>>Search the LabVIEW Bookshelf).
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