Is it necessary to upgrade my groupset?
I think what you have is more ideal for steep climbs you would find in the mountains than most up-market groupsets. As @Criggie has pointed out, 22:36 is ideal for climbs. Going to a more expensive groupset will most likely give you worse gearing unless you choose something that is specific to climbing.
A standard Sora groupset will come with a 50-34 chainset and an 11-32 cassette, which won't be great for touring especially if you are carrying a load. Some mono (1x) groupsets can get a 50t cog in the back, but to get the same ratio as your 22:36 you would need a 31 tooth chainring which is pretty small and would end up giving you a much easier hard gear. Assuming the smallest cog of 11 teeth, you would only be going at 33 km/h at 90 RPM in your hardest gear.
If you want an upgrade to get better quality components you are better off going with something from the Deore line like a mountain double with something like 36/22t chainrings or a mountain triple with 40/30/22t chainrings