You could do either, mdf. Bus leaves the Frisco transfer center for Breck every 1/2 hour starting pretty early. Should get you to Breckenridge Station, which is right at the Gondola base, in about 1/2 hour.
If you drive, the Gold Rush lot on the right side of Park Ave is still free. Not very big compared to the now-pay Gondola North (former "Tailings" lot, now $10) and Gondola South (former "Miners" lot, now $5). Get there early if you want a space in Gold Rush. The resort runs buses to the Gondola station for Peak 8, which is also where the buses to Peak 9 Beaver Run leave from. But honestly you can walk to the gondola from Gold Rush if there's no bus waiting for you. As long as you get across the street safely! Then walk through the Gondola North lot - don't walk up the street.