You are lucky if you have only Intel graphics and no discrete graphics chip! I have to "jump through hoops" to force mine to stop trying to use the failed AMD chip.
But do you think that this laptop can be used without problem into every day use?
Sure, I think so -- my family still uses our 15" Early 2011 MBP (High Sierra) every day, for email and web browsing. It's my wife's main computer.
The main issue I see is that Apple will drop support for High Sierra this Fall, so there will be no more fixes for security problems in macOS or in Safari. I assume there will be no more updates to system security files for Gatekeeper or MRT. This will probably put you (and me) at an increased risk of malware compared to more recent fully-supported versions of macOS. The question is
how much of an increased risk? It's really hard to say. IMHO it is probably quite small, at least at first. The risk may grow over time, though, as more vulnerabilities in High Sierrra are found or publicized (and not patched).
I tend to lean toward the more-concerned side of security issues, but I've decided that I'll continue to use High Sierra for perhaps 6 months or even a year (assuming it keeps working), while I wait to see what Apple laptops come out using the new ARM chips. (I also lean toward the more-frugal side and like to stretch out the usefulness of computers as long as I can.)
If you decide to follow suit, I highly recommend you use Firefox or some other third-party browser that will continue to get security fixes, instead of Safari, which won't.
Also of note: there are ways to install Mojave or Catalina on these machines, despite Apple's restrictions. Look up dosdude1 patches, or something similar. I haven't tried that yet, but I will look into it at some point.
