The only thing I might worry about is video decoding, and whether it'll handle higher refresh rates as higher resolutions. For example, the integrated graphics for my old Haswell era Pentium could handle my monitor's resolution of 3840x1600, but only at 30Hz. Video playback, say for example from YouTube, therefore was a little funny, and I'd get tearing.
I'm currently using an Athlon 200GE (see my sig), and that handles 3840x1600 just fine at 60Hz, with smooth video playback. Honestly, though, the new Athlon 3000G is a little faster than the 200GE, and costs a little less. For your use case, that would cover everything just fine - assuming you don't open a ton of browser tabs at once. Power consumption is pretty low as well, since all the Ryzen-based Athlons have a TDP rating of 35W (real-world, I don't think they ever hit even that modest level when maxed out)
But I don't know what resolution and refresh rate your monitor is, so the GT710 might be just fine. Depends on how much you're paying for that GT 710, too. Still, for your use, you don't need much CPU, either, and the 2600x would be overkill as well.
- EDIT: please note, though, that the Athlon APUs are 2-core, 4-thread, versus the 2200g/2400g/3200g/3400g being 4-core, 4-thread. If you do go with the 4-core parts, though, I'd stick with the 2200g or 2400g, considering that they will have about 90-95% of the performance of the 3200g/3400g, but likely offered at a significantly lower price.