The basic movement on skis with a grip pattern is the Classic or 'diagonal striding' - an exaggerated glide & walk. By pushing backwards with (say) the left foot, the right ski commences to glide forward. When it stops, bring the left foot forward, with ski in light-contact or just above the snow. Ascents of moderate slopes are possible. The boot-heel is free and rises off cross-country (XC) skis.
Trails are nicely groomed by machines by compacting fallen snow, and, to assist in directional control, two adjacent tracks (grooves) of ski-width are formed into the snow for 'diagonal striders' (as opposed to 'skaters'). If you want to stop for a while, exit from the tracks to allow others to pass easily. XC skaters use the groomed trails, but not the grooves.
For slow downhill turning, adopt the snowplough position (above), then transfer some body-weight to the outer leg/ski - yes, the one on the outside of the turn!! Leaning into a turn is definitely not the way to do it. But these are techniques you will of course learn more about when you take the lesson!
When you are more confident you may want to learn Skating technique or Telemarking.