How do I synchronize my wallet quicker with bitcoins already sent?
Yes there is, get a better Internet connection and a faster computer.

You need a better Internet connection because you are downloading the whole blockchain (I guess you're using bitcoin-qt or the like) and it is a few GB. 

And you need a faster computer because as you download the blockchain you are processing those transactions and updating your DB, so a faster computer will lower the time needed to process that information.

Until you have downloaded the whole blockchain you won't be able to spend bitcoins with your wallet because it will wait until all transactions have been processed to know the amout of bitcoins remaining in it.