A few thoughts.
1) Sure, it's a lot of fun to see the great players go at it, but a word of caution : For your current level (based online/live ratings), you should AVOID going over contemporary games of chess and start with classical games (pre-1950) and work your way up. Modern chess is way to subtle and positional to be instructional for you unless you've figured out all the supporting concepts. This is analogous to a grade schooler at math trying to learn from reviewing PhD dissertations. Fun (hey, did you see that awesome Naka Sacrifice!) and perhaps useful for skimming over superficially/seeing what openings are fashionable, but you're really trying to run before you've learned how to crawl.
Not saying don't enjoy them, but it's inefficient (and often dangerous) to rely on these for instructional value, especially if they are annotated at a high level and not for lower-rated players. Start with Morphy and work your way up chronologically. You'll have a more thorough understanding of Master games.
NM Dan Heisman recently mentioned that it saddens him when 1100-players tell him that they found Zurich 1953 to be an instructive text. It is just not possible for players of a certain level to appreciate games of a level clearly out of their league.
2) Increasing game time / playing slower games : A most excellent decision ... slower is better. You want your fertile brain to absorb positions and patterns, to commit them from short-term to long-term memory ... which rarely happens with faster time controls.
For the last couple of weeks, I've been following live the Tradewise Gibraltar and Tata Steel chess tournaments. Following one or two games simultaneously and trying to anticipate their next moves was a fun and learning experience. I don't have a high rating, but I felt like my last games and the way I played are an extension of what I learnt in the past weeks. I've increased my game time(rated games) as well so that the thinking aspect before moving and analysing could be beneficial to my game. During the tournaments, I also had Fritz on, it was interesting how some moves by the masters were not an option on the engine but part of their bigger plan.