TL;DR* Here's what the license entails:
1. Anyone can copy, modify and distribute this software.
2. You have to include the license and copyright notice with each and every distribution.
3. You can use this software privately.
4. You can use this software for commercial purposes.
5. If you dare build your business solely from this code, you risk open-sourcing the whole code base.
6. If you modify it, you have to indicate changes made to the code.
7. Any modifications of this code base MUST be distributed with the same license, GPLv3.
8. This software is provided without warranty.
9. The software author or license can not be held liable for any damages inflicted by the software.
More information on about the LICENSE can be found here
GPL3 is very infectious and although one is not distributing , the GPL3 is clearly stating that by linking (making use of) GPL 3 libraries, your code is automatically 3.0. So your private code is GPL3 now. You can of course avoid any demands of seeing it, because you are not distributing it. By not distributing, despite being GPL3, you do not have any obligation to provide the source(s) no. But it's definitely GPL3 (forks or otherwise derivative work). So in the future if you ever use it in something where the code is considered distributed, you will have to provide your sources if asked for.
In other words , to your web service, I won't reply on those specifics as I don't know what you or service is or does in detail, but you are committing in the long term an opportunity cost. Passing it on to even servicing technicians could make an unfaithful servant or just a prick decide to claim you are now distributing and so must disclose your sources. Gotta be careful with viruses. 🗡️
(edited for slightly better clarity).