Yes you will, but it's probably not going to be much use to you.
The following equilibria will be established:
H₂SO₄ = HSO₄^- + H⁺ = SO₄^2- + 2H⁺
HNO₃ = NO₃^- + H⁺
You'll have a mixture of H₂SO₄ HSO₄^- SO₄^2- HNO₃ NO₃^- plus Na⁺ and H⁺.
As sulphuric acid is stronger than nitric, you'll have less of it.

L

to add to that, the link I put there has about 10 replies of people saying its too hard and too expensive to do.

sodium sulfate is a byproduct of the production of nitric acid

Thanks wikipedia:
Sodium sulfate
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Sodium sulfate
Sodium sulfate
Other names Thenardite (mineral)
Glauber's salt (decahydrate)
Sal mirabilis (decahydrate)
Mirabilite (decahydrate)
Identifiers
CAS number 7757-82-6,
7727-73-3 (decahydrate)
RTECS number WE1650000
Properties
Molecular formula Na2SO4
Molar mass 142.04 g/mol (anhydrous)
322.20 g/mol (decahydrate)
Appearance White crystalline solid, hygroscopic
Density 2.68 g/cm3 (anhydrous)
1.464 g/cm3 (decahydrate)
Melting point

884 °C (1157 K) anhydrous
32.4 °C decahydrate
Solubility in water 4.76 g/100 ml (0 °C)
42.7 g/100 ml (100 °C)
Structure
Crystal structure monoclinic, orthorhombic or hexagonal
Hazards
MSDS External MSDS
MSDS ICSC 0952
EU Index Not listed
Main hazards Irritant
Flash point Non-flammable
Related compounds
Other anions Sodium selenate
Sodium tellurate
Other cations Lithium sulfate
Potassium sulfate
Rubidium sulfate
Caesium sulfate
Related compounds Sodium bisulfate
Sodium sulfite
Sodium persulfate
Supplementary data page
Structure and
properties n, εr, etc.
Thermodynamic
data Phase behaviour
Solid, liquid, gas
Spectral data UV, IR, NMR, MS
Except where noted otherwise, data are given for
materials in their standard state
(at 25 °C, 100 kPa)
Infobox references

Sodium sulfate is the sodium salt of sulfuric acid. Anhydrous, it is a white crystalline solid of formula Na2SO4 known as the mineral thenardite; the decahydrate Na2SO4·10H2O has been known as Glauber's salt or, historically, sal mirabilis since the 17th century. Other solid is the heptahydrate, which transforms to mirabilite when cooled. With an annual production of 6 million tonnes, it is one of the world's major commodity chemicals and one of the most damaging salts in structure conservation: when it grows in the pores of stones it can achieve high levels of pressure, causing structures to crack.

Sodium sulfate is mainly used for the manufacture of detergents and in the Kraft process of paper pulping. About two-thirds of the world's production is from mirabilite, the natural mineral form of the decahydrate, and the remainder from by-products of chemical processes such as hydrochloric acid production.

quote from another forum:
H2SO4 is not exactly a kitchen project...good luck:
http://www.sciencemadness.org/talk/viewthread.php?tid=510