I think it is really critical that at each stage of academia you are thinking about the next stage and how to get there. For those interested in staying in academia, I take the often controversial view that you should do everything possible to delay getting to the tenure review (extra time as a student and post doc). For someone interested in an industry job, it is all finishing asap. For industry, PhD and post doc experience just isn't that valuable. With that in mind ...
Relation with Advisor
You should tell your advisers that you are interested in industry jobs. This will help them tailor how they market you to your colleagues. It might mean they are more receptive to adding an industry contact to your committee or changing your topic slightly. They also might help you finish faster.
How I spend my summers
Summers should be spent working on your PhD (i.e., trying to finish as quickly as possible) and picking up skills useful for industry.
Conferences
If your goal is industry, conferences are no longer about meeting colleagues and selling your research. It is about hanging out with the vendors and industry reps. Small conferences, which are great for meeting a post doc adviser, are probably less useful.
Publications
Back burner them. Take second authorship and let someone else spend the time writing them. They are not going to be critical for getting you an industry job or promotion.