I think beginner should really be redefined. If you've never been out before do these first:
Ice Cave Creek/Winding Stairs Loop
Mt Herman Rd.
Starting from Hotel Gulch on 67, you can do all 3 in a few hours and end up in Monument for an easy drive home. All 3 can be completed with any stock 4x4. It is a very enjoyable drive with good scenery of Pike's Peak and a good start for your first outing. Plan round trip of 6 hours from Denver, inclusive of a lunch stop on the trail.
Other easy options for beginners are Phantom Creek or Rule Ridge.
China Wall is harder than the above trails, but completely doable in a stock wrangler. If you have taken your Jeep out on easier trails and have a good feel for it off road, then try China Wall.
These are all good trails for this time of year given their lower elevations and smaller snow content.
As stated before, go with a buddy and with another Jeep. Always bring water and food.