As @rjs said, ideally your employer will withhold only AL taxes for you (assuming you'll never work within GA).
If your employer cannot withhold AL taxes for you, then you need to make quarterly estimated tax payments to AL. Here's a link with more info on that:
https://www.revenue.alabama.gov/individual-corporate/individual-income-estimated-taxes/
Some states tax non-resident remote workers; Georgia is not one of them.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
