According to the Colorado Dept of Transportation website, the Mt Evans road (Colorado Route 5) to the summit is closed for the season. You can drive to the start of Route 5 on Colorado Route 103, which starts in Idaho Springs and ends in Bergen Park. The start of Route 5 is on Route 103, 14 miles south of Idaho Springs. Route 103 is paved and is open year-round.
It is 14.5 miles from the Mt Evans entrance station to the summit via Rt. 5. Possibly the road may be open as far as treeline, which is 3 miles from the entrance station.
For more info on Colorado road status, check out the Colorado DOT website, that gives up to date info on road closures, road conditions, weather, construction projects, etc. Here's the URL:
http://www.cotrip.org/road/road.html
It would probably be quicker to do the climb from Guanella Pass by climbing Mt Bierstadt then traversing the ridge between Evans and Bierstadt.
Hope this helps.