As soon as Jesus comes into our life we have something to give. We have received the love and grace from Jesus, we now can show that we are his disciples by the way we live for him. Jesus teaches us to love one another. This is giving isn't it? He also says if you love me you will love the least of your brothers and sisters.
We also sometimes limit ourselves to how we give and only give and bless those who we know will repay us. Did Jesus do this? No he came for the lost and the broken, the sinners and the ones who needed him. Remember the story of the woman caught in adultery and when Jesus eats with tax collectors and sinners. Jesus searches for the lost. Let us do similarly. Let us lift up the name of the Lord by blessing everyone, not just the righteous. Let us show unbelievers how much God loves them, because he loves sinners and the righteous alike. Remember there is more rejoicing in heaven for one sinner who repents than one righteous person who does not need to repent.
I say 'as soon as' because it honestly doesn't matter how new you are to the faith. Do not feel that you have to wait before you have reached a certain maturity or number of years in your faith. Often as a new Christian, your enthusiasm may encourage others and bring the lost to know Jesus.
The way you give will come naturally to you because of Jesus' love. When I say this I mean you will feel so overwhelmed with the love of Jesus that you will want to serve him more and more. The way you serve and give will again come naturally to you according to your calling. You may be called to encourage, preach, evangelise, be generous etc. In my case I have been called to write, intercede and encourage. Overtime the Holy Spirit will show you your calling. But I assure you, do not hold back once you have received. Freely you have received, freely give.