First of all you need a gmail account, you will probably have either had one of these previously or created one to get on the Android market as soon as you got your new phone.
1. Open iTunes and then in the info page, ensure the ‘Sync Google Contacts’ is checked, you will be prompted for a username and password.
2. Sync the phone and then check in your gmail contacts that they’re all there. There may be some tidying up to do and I did mine on the phone but it may be better to do it now whilst you’re on the PC.
3. Check on your phone and all your contacts should be there.
For copying your calendars, you need to ensure that the Calendar option is also selected:-