Je na Gigabyte GA-H110M-S2H integrovaná grafická karta?

Není. Ale dost pravděpodobně bude v procesoru, který do ní dáš.

HEUREKA : https://zakladne-dosky.heureka.sk/gigabyte-ga-h110m-s2h/specifikace/#text
ALZA : https://www.alza.sk/gigabyte-h110-s2h-d3783782.htm?kampan=adw3_a1-komponenty_gigabyte-h110m-s2h-ag169r-komponenty-zakladni-desky&ppcbee-adtext-variant=ad2-bez-zlavy&gclid=EAIaIQobChMIleHZveiV3wIVj-R3Ch0OhwP2EAAYASAAEgJiLPD_BwE#recenze

Pořád tam není.

https://www.gigabyte.com/Motherboard/GA-H110M-S2H-rev-10#sp

Onboard Graphics

Integrated Graphics Processor - Intel® HD Graphics support:
1 x D-Sub port, supporting a maximum resolution of 1920x1200@60 Hz
1 x DVI-D port, supporting a maximum resolution of 1920x1200@60 Hz
* The DVI-D port does not support D-Sub connection by adapter.
1 x HDMI port, supporting a maximum resolution of 4096x2160@24 Hz
* Support for HDMI 1.4 version.
Support for up to 2 displays at the same time
Maximum shared memory of 1024 MB