Well considering it hasn't happened since 1995 (18 years), I'd say it's pretty significant. Also, the GOP reasoning behind it seems pretty silly (defunding the ACA).
It's not very significant unto itself. Total government expenditures are about $6.7 trillion per year, between local + state + federal. The years will keep rolling on, and they're all going to keep spending more with little evidence of a good return on investment from the last $50 trillion they spent the prior decade. All greased by the nice annual trillion dollar shot from the Fed propping up the Federal Govt., the housing market (state property taxes, 'wealth effect') and the stock market.
The most interesting thing about the shut down, is that it represents a total government failure of competency. All parties, the Congress, and the President; and not just now, but the last 20 years, leading up to this mess. From George W's hyper spending, to Clinton continuing the grand tradition of stealing from SS inflows to fake balance the budget, to Obama's hyper spending increases while the Democrats had super majority control of the House + Senate while they had the Presidency. Everybody is to blame in DC; the partisans claiming their side is right are to blame as well.
http://en.wikipedia.org/wiki/Government_shutdown#Federal_gov...
In fact, the government shut down almost every year from 1976 to 1987 (only missing 1980 and 1985).