1st step in double replacement reaction is to switch the partners in molecular form and see if you can get an insoluble product (You need to know a set of solubility rules)
In this case you could form sodium nitrate (all nitrates are soluble, and all sodium compounds are soluble. These ions will stay in solution)
You could form Barium Hydroxide (The rule is that hydroxides are insoluble except for the IAs and heavy IIAs. Ba(OH)2 is soluble)
You get no products.
If you combined sodium sulfate with barium nitrate, you would get a barium sulfate ppt (a favorite of the SAT in Chemistry: All sulfates are solutble except heavy IIAs, Pb, Ag)
Then you could write the net ionic equation as Ba2+ + SO42- ⇒ BaSO4 (s)
Hope that helped.