Do you mean the Reindeer Gnome? (Melany77 posted a picture of him in comment 160, page 16 of this thread)
You get it in the 'Bundle of Gifts' when you complete goal 9.
The Elf Gnome can be won by doing adventures (rare and random drop). You can still do adventures after fully upgrading your Snowglobe.
The 3 Gnomes from the Faerie Atrium (Ms. Claus, Mr. Claus and Grinchy Gnome) have nothing to do with upgrading your Snowglobe.
You have to complete the daily tasks to get Faerie chests.
Edit : I'm sorry, you probably mean the Reindeer Gnome Doll (material), and AnnirasSweets already answered that.