Something that's done luxuriously happens in a fancy, comfortable, or expensive way. Your dreams of living luxuriously might include an indoor swimming pool and seven cars.
Spending a weekend luxuriously might mean a meal at a nice restaurant and a massage at a spa for one person, or reading a book in a hammock for another. Your luxuriously decorated hotel room will probably have very soft, comfortable sheets on the bed. Luxuriously comes from the adjective luxurious, with its Latin root word, luxuria, "excess, extravagance, profusion, or delicacy."