Using wireless computer with cable/wireless modem

My son has a modem that can be wireless or cable. He mostly uses it via cable, but can I set up my wireless computer to use the modem at same time or would he need to have the modem set to wireless? Failing that, could I set up a second modem as a wireless one just for me?
I am new to wireless computers and technology, and I need another computer, so I wanted to know what I could do before buying the products.
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More about using wireless computer cable wireless modem
  1. What is the device he is using (manufacture and model#)? Most likely it is a wireless router which would support connecting to it via ethernet cable and wifi at the same time so it should work fine for what you are asking.
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