The EU BlueCard is not an EU-wide work permit. In fact, it is in some ways more restrictive than traditional work permits under domestic immigration law (this differs of course from country to country).
http://ec.europa.eu/immigration/who-doe ... -the-eu_en
For the first two years, employment is tied to a specific employer, any change in sponsor would have to first be sanctioned by the national department of labour.
For the first 18 months of residence under EU BlueCard, a BlueCard holder cannot apply for a BlueCard in another member state.
The BlueCard allows visits of up to 90 days in 180 within Schengen for touristic purposes only, just like any other Schengen-state issued residence permit.
The biggest advantage of the BlueCard is, that it offers an accelerated path to settlement, easier entry requirements for spouses and quicker unrestricted access to the job market for spouses.
I am not a regulated immigration advisor. I am offering an opinion and not advice.