I sadly never really beat the first two games, which is why I kinda was hoping EA would remaster the BioWare franchises (Dragon Age and Mass Effect) but that's definitely not a guarantee -- does anyone think that it's going to be hard to get into Dragon Age: Inquisition without beating the first two games? I assume the default world or the Keep should hopefully explain prior events well, and I can just choose to think of that as background lore.
You can go through the keep and make the choices you want (The default ones imo are pretty bad, having you miss lots of followers/not helping people and other things you would definitely NOT do if you play as a "good" guy and find everything).
After you have went through and picked the choices you can then watch a video that has Varric narrating the story of both games and then you will have the general idea of the setup and major events from the past games.
Apart from that you could always watch the "Story/cutscenes" on youtube (I did that recently to get caught up on DA: II since I never finished it).
Making all the choices in the keep might take a while but imo it's worth it if you want DA:I to be setup how you "would" have played the other games, it's not that hard and at most you might just have to occasionally "google" a character to determine what "choice" you would make when it asks.