I play DMM for the gameplay. Story stuff I'm not worried about as I get my fix of that playing on Nutaku. A lot of the story stuff will eventually be revealed on Nutaku anyway (fingers crossed).
Regarding Googling I don't need to do it very often, maybe a couple of times a week to look up something specific for planning ahead. Usually looking up new units to see how useful they will be with my current team and if I should prioritise them. I spend a lot more time organising stuff for Nutaku as resources are scarcer and need managing so I know what I need to chase.