Zion National Park is a fantastic area to just relax and take in the sites, drive through it or hike and climb all the various trails.
For some great info and current conditions within the park, visit the NPS site for it to be sure of weather and closed trails, etc. Sometimes the Narrows are so flooded in the Springtime, it is just too dangerous to try wading through it's massive gorge.
If you are entering Zion from the East Entrance, be sure to consider a great hike just in front of the large tunnel. It is called "Canyon Overlook Trail" and offers a fantastic view of part of the canyon making up all of Zion. Parking is very limited. Measure exactly one mile from the exit of the small tunnel to your first pulloff area for parking - only about 2-3 cars. Then, exactly one more tenth of a mile is parking for only about 10 vehicles - that is it. If you don't get into either of these, you MUST continue on and go through the mile+ tunnel.
Rt 9 is the only way into and out of the Park. All cars must use a shuttle bus within season to tour the park and go to various hiking points within the Canyon Scenic Drive. Just west of the park is Springdale with plenty of wonderful places to stay and eat. We recommend a night at Desert Pearl Inn and a meal at Cafe Oscars - both in Springdale. The Visitor Center is also on the Springdale side of Zion and offers plenty of parking and a free shuttle bus ride into the park.
Emerald Pools Trails start across from the Lodge and offer some beautiful hikes to some massive waterfalls. Angels Landing is further into the park, but reserved for the more adventurous and better fit hiker. At the end of the shuttle drive is the Temple of Sinawava - the entrance to the wading of the Narrows!