Short and simple answer to your question is as follows:
Yes.
Longer version:
The G750 Thunderbolt port is ALSO a mini Displayport umm port.
Even longer version:
For art and animation, the G750 should be sufficient if one requires portability. Nothing beats a desktop set up of course in terms of raw power but if you're looking for portability and power, the G750 does deliver a fair bit enough to manage.
I have a monolith of a beast as a desktop for most graphics work I do, however, when I am on the road, the G750 works just great. I primarily use CorelDRAW X6 and Adobe Master Collection CS6 and I run my own creative studio / brand consultancy.
No harm in having both if you can afford it.
As for the screen, the U2713 IPS is great in terms of colour accuracy and quality. Ensure Dell after sales in the Philippines is up to snuff though.
There are better screens sure, but for your daughter and her purposes, this is, trust me when I say this, MORE than enough.
Cheers
Jesse Pinkman: "What's the point of being an outlaw when you got responsibilities?"
Badger: "Darth Vader had responsibilities. He was responsible for the Death Star."
Skinny Pete: "True that. Two of them bitches."
😄