Hi I was wondering what you think Gilgamesh's reaction would be to his master wanting to learn Sumerian to impress him?
His reaction largely depends on the class you summon him in. Do you have Gilgamesh the wise king, who has matured after his search for immortality, or the arrogant king of heroes, who sees himself above all others, in front of you?
Archer Gilgamesh probably wouldn't be too enthusiastic about your attempt to impress him. Of course, anyone as low as you would try to win his recognition, but as his master, you should know better than anyone that it takes more than that to impress him.
If your relationship is only about you providing him with maana, he might also react pretty mean and say things like a mongrel like you shouldn't even think about being able to impress him. Because you are not worthy enough.
If you have a more close relationship with archer he might not be as mean, but he wouldn't praise you either. But deep down he is somewhat touched by your actions. He might even help you a little bit. But, of course, not after insulting you and pushing his ego for a while.
Caster Gilgamesh would be impressed by your dedication to learning a new language. Knowledge is very important, so he would help you to learn more if he has the time. He is extremely busy after all.