Based on my personal experiences, the quick formatting could not erase your data completely. Therefore, you definitely do have chances to get back your data, provided that you’ve not rewritten your needed data with anything else.
Step1. Stop saving anything else on this formatted hard drive.
Step2. Recover your needed data back by applying data recovery software. In these days, data recovery software would help any computer noob retrieve their data back easily. Therefore, don’t worry!
What you should do is to select a proper data recovery program for your drive data.
In my part, I would firstly recommend you to try some drive data recovery freeware like Recuva
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You could easily find them on the internet.
Step3. Save the copies of the recovered data to another computer in case of data recovery failure. (Learning to make data backups all the time could be a good habit for you to protect your important data.)