I've been thinking about this scenario further... I think my first inclination would be to find out as much as I could about the internet and power grid infrastructure so that I could keep everything going for a while, perhaps even go to NASA headquarters (since I live reasonably close to Houston) and use their high-tech facilities. I would probably go and take food from several grocery stores first, and probably gorge myself on my favorite perishable food near the beginning because I knew it was all going away. I would then collect mostly long-lasting foodstuffs which could last for a few years.
Then I would research robotics and anything else I needed to learn, and then try to create robots which could gather raw materials and build/repair things. I would start with basic ones that did farming and resource gathering around the local area. Then I would try to create ones that maintained the vital infrastructure of the city such as power, water, and network infrastructure. After that, I would create ones that were capable of building and repairing all of the aforementioned types of robots, as well as maintaining production/assembly facilities. Then after everything in the local area stabilized, I would go on to create a robot that could take more general commands and break them down into specific instructions for lower robots to follow.
I would then have several of these sorts of robots go around to several major cities and repeat the process, programming them with all the systems knowledge they would need to bring the infrastructure of the cities back online and maintain things such as roads and buildings as they were so that they didn't just turn to ruin. I would try to set things up so that I could monitor everything from a central location. Then finally, I would create a robot that could assess global general situations and advise the lower ones of specific objectives to reach my main goal. That goal would be to continue improving themselves by assimilating new information, and attempt to learn/research as far as possible.
At that point, after the robots had secured everything, I would probably travel around the world and look at various landmarks and going into various homes trying to piece people's lives together from the remaining information in my mind like I said before. I might very well set things up so that the robots held parades, parties, and games for me and perhaps simulated social interactions to some degree, giving me something to do. I might, after I had learned enough, go around doing all the things I had ever wanted to do. I might even consider trying rather crazy things like bungee jumping or skydiving. But I would probably keep messing with what I had created and adding new capabilities until I died.
I don't know why this occurred to me, but I just couldn't think of a better use of my life than that, presuming I was up to it.