Definitely not like Skyrim apart from the fantasy setting, the game is narrative driven and everything is handcrafted by the devs. Skyrim has way too much randomly generated stuff to feel as rich as BG3. The game also is based off of dnd rules and is not real time action oriented like Skyrim, when not exploring you do things in a turn based mode and have to manage actions/bonus actions/and spell slots to do things. You also manage a party of 4 players and not just the one you make.

If you get the game and don’t have experience with DnD, definitely watch some battle mechanics videos cuz the game isn’t gonna explain all the nuances you should know to be effective.