Combine water, yeast, honey and salt in a small bowl; let stand until foamy, about 3-5 minutes.
In the bowl of an electric mixer fitted with dough attachment, beat white whole wheat flour, olive oil and water mixture at medium speed until well combined.
Gradually add all-purpose flour, 1/2 cup at a time, until a soft, smooth ball of dough is formed. The dough should feel elastic and slightly tacky to the touch. Increase speed to medium-high and beat for 5 minutes.
Lightly oil a large bowl or coat with nonstick spray; place dough in bowl, turning to coat. Cover with a clean dishtowel and let stand at room temperature until dough has doubled in size, 30-45 minutes.
Working on a lightly floured surface, divide into 2 equal pieces*; gently knead before using.
Notes
*TO FREEZE: Roll into a ball and place dough into separate Ziploc bags. Place in the freezer for up to 2 months. Let dough stand at room temperature until thawed, about 4-6 hours.