If you take the final population as is, then it will be the same as continuing the previous run. So it will not make any sense.
If you mean selecting some individuals from the final population and fill the rest with random solutions then it may converge faster than using a totally random initial population. However, this time, you take the risk of getting stuck at local optima because of the lack of diversity. Actually, the second strategy I mentioned here called elitism that is a common strategy in GA and guarantees to keep a predefined number of good solutions at each iteration.