I've never understood the allure of attending the draft. Sitting in an arena waiting for a name to be called out every 6 minutes or so sounds dull to me.
I've attended three drafts and it's certainly not for everybody. For me, it's a fun and unique atmosphere to be around. Reacting to trades with 10,000 other people is an oddly amusing occurrence.
Day 1 gets the hoopla, but I've had more fun on Day 2 since far fewer people attend. You can camp out and have a front row seat while watching teams conduct business. I enjoyed watching Brian Burke and George McPhee work out a trade right in front of me. And if you want to channel your inner-Eklund, you can spot a couple GMs talking and wonder if they're talking trade or discussing vacation plans.
And then there are numerous HOFers, former All-Stars, etc who are working in management roles. The draft is a great spot to pictures/autographs and/or have a quick conversation.
I wouldn't recommend sitting in one spot for all seven rounds. If my team doesn't have a fifth round pick, I'm probably going to do a lap around the concourse and see who I might run into. The Stanley Cup is typically on display and that's a photo opp that doesn't get old.
Day 2 typically is 10am-3pm on a Saturday. I dunno about you, but I'm usually not doing anything particularly noteworthy during those hours.