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I've had a look at the support page of Gateway for your laptop and there are a few things we could try for now.
Note that Gateway supports software, updates and such for Windows 7 only according to the support page, correct me if I'm wrong please.
Option 1. Starting with driver verifier, the problem is that if driver verifier shows a driver that Gateway provides and reinstalling the driver doesn't help it appears that your system may become incompatible with Windows 10. Note that the installation date doesn't matter at this sight.I'll leave the decision to you for where to start with
Option 2. A clean install, a clean install solves many problems that may occur when upgrading. If however a BSOD occurs again, depending on the situation, we may need to go back to option 1.