Note: transfers will take approximately 4 hours (or more). After bridging, you will have to swap the bridged token into cUSD. See the next option.
Swap on a decentralized exchange on Celo
If you already hold other assets on Celo (e.g. CELO or cUSDC or cETH or pUDSC or another token), you can use Ubeswap or Mobius exchange to easily swap them for cUSD. You will need a very small amount of CELO to pay for the transaction costs.