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A lewis structure for a covalent bond will have shared pairs, of electrons while a lewis structure for an ionic bond will just demonstrate charge and valence electrons. Below is the lewis structure of NaCl, an ionic compound, so you can see the difference.
I think the reason you put the dots (8 electrons) around the anion and not the cation is to demonstrate which of the atoms has just gained a full shell. It explains the concept of the anion filling its outer shell while the cation has emptied its previously most outer shell.
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