Yes and no, depends on the character. One of Elric's main, ah, sidekick I suppose, he is very un-Elric. As in he is really upbeat and positive, and more of a jokester. You should also know (if you don't already) that all the characters from the other novels are in fact Elric. Being the Eternal Champion means he is reborn over and over. Like Corum for example, he's exactly like Elric except that Elric was raised in an evil culture so he's more devious because of it.
The two new books are about Ulric Von Bek. Elric had two children, one was the Dreamthief's Daughter Oona, the other I can't remember but he somehow or another traveled to our world (earth) and through all of his scions you eventually reach Ulric, who is a german noble during WWII. He hates the Nazis and goes on a quest to destroy them. Elric is in the dream of a thousand years (he does this twice in his novels), which is a sleep that goes by really quickly, but in the dream itself Elric lives for 1000 years. That is why his capital city was called the Dreaming City, as all of the people entered and lived in these dreams to gain experience and such without actually having the time pass.
The downside for Elric is he is much weaker, most notably his magic. If you want something more measurable, in D&D he is stated as wizard 20/fighter 8. Plus he has an artifact that makes him an even more powerful wizard. Elric himself mostly uses summoning type spells, and generally they are anything from god-like elemental lords to actual gods themselves. He can't do this very often while in the thousand year dream (btw, there are lesser versions of this, 25-year dream, 100-year dream, etc.. but however long you choose, you have to live that long, no ending the effect early).
Another thing you should know about Elric and all of his incarnations, they can combine into a god-level avatar. The more that combine, the more powerful they are. Since Ulric is related by blood, he and Elric can do this. After they do, they then know all of each others memories and such. But one thing about Elric, he is very forgetful because of all his time dreaming, so his memories fade very fast. Ulric suffers no such drawback and continues to remember all of Elrics memories after they seperate. That basically sets you up for the 2 new books. They are about adventures Elric, Ulric, and Oona take together.
Ulric also has a version of Stormbringer called Ravenbrand. This isn't actually Stormbringer, more of a copy of it. Like sliders, there is infinite dimensions of possible worlds, which means many versions of Stormbringer. However, Stormbringer itself is unique from all the others, as it was possessed by a demon while being created. That whole story is covered in the Skrayling Tree so I won't spoil it.