The simplest method is to measure the rate of reaction. If you take benzyl chloride and tert-butyl chloride and let them react under SN1 conditions (because benzyl chloride can react via SN2, too), you'll find that tBuCl reacts much faster.
It might be important to consider that a benzyl cation is still a primary carbocation, and stabilization only comes through the loss of aromaticity. Tertiary cations have triple hyperconjugation that comes at the apparently lower cost of weakened C-C and/or C-H bonds.