Is it true that I can download quickbooks to my laptop and use in conjunction with the quickbooks online? I was lead to believe it was faster that way?
If you mean install the full desktop program of QuickBooks on your laptop, then NO, this is 100% incorrect. If you did that you would have to CONSTANTLY be exporting and importing.
QuickBooks Online is 100% web-based. You can log into it on your laptop as long as it is connected to the internet. You can also download the app which ALSO connects directly to your QB Online account and enter items on the go.