EDITED 1/20/2020:
The following answer I originally provided on 1/17/20 is for state returns in general--not Florida. I don't remember that your question had specifically said "Florida" at the time (was it edited after the fact?), or I may have read it too fast. ☹️ But in any case Florida is an exception since it has no state income tax. For Florida, you can ignore my original answer here and scroll down to see my comment lower down on this page about the Florida situation you may have encountered.
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You won't know anything about the state return until after the Federal return has been accepted or rejected. If the efiled Federal return rejects, the efiled state return will also reject. For most filers, the IRS will not start processing returns until January 27. A few returns are pulled early each year for testing purposes.
You can check the status of the Federal and state efiles by logging back into your account and looking at the Status displayed at the Tax Home.
Once the state efiled return has been accepted, here's how to check on a state refund. Click on your state at the following FAQ:
FAQ: How do I track my state refund?
https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571
TIP: While you're at your state's tax website, also look for a statement or FAQ that may say about how long it takes to get a refund in your state and how to long to wait before phoning them. Some states are fairly quick, while others can take a long time, even weeks, as they crack down on fraudulent returns.
