For G there are: great, good, gargantuan, ginormous, gentle, giant, and gigantic.
For H there are: happy, honorary, hunky, hilarious, hairy, hopeful, and hunky-dory. ^hunky-dory is my favorite.
Some adjectives that begin with letter G are:gabbygarrulousgauchegauntgaygenerousgentlegiantgiftedgildedgingerglamorousgloomygoldgooeygoofygorgeousgranitegratefulgreedygreengreygrimgrowngrumpyguiltygulliblegustygutsygypsum
generousgentlegiftedglamorousglitteringgloriousgoodgorgeousgracefulgraciousgrandgratefulgreat
gassygauntgoofy
gorgeous
global
green
generousgeniusgenteelgentlegiftedgirlygivingglamorousglowinggoodgorgeousgracefulgraciousgreat
Glowing.
gamic genic glial gyral
Some dogs are gargantuan. Some dogs are gentle.
Giggity
gabbygarrulousgaudygauntgaygeekygenerousgenialgentilegentlegenuinegeriatricGermanghastlyghostlyghoulishgiantgiddygiftedgiganticgigglygirlishgirlygivinggladglamorousglaringgleefulglibgloriousglutinousgodlessgodlygoodgood-heartedgood-naturedgoofygorgeousgossipyGothicgracefulgraciousgrandgrandiosegratefulgratuitousgravegreatgreedygregariousgrief-strickengrievinggrizzlygroggygrossgrotesquegrouchygroundedgrown-upgrubbygruffgrumpyguardedguilelessguiltygulliblegutlessgutsy