OK, thanks for the additional information, bethtoddmurphy.
First off, I wouldn't stay near Perrache. While it's close to (one tram stop from) the university your daughter will be attending, it's in a fairly seedy area, and there are long (probably scary to the average tourist) dark tunnels beneath the station to get from one side to the other. Now, if you're in the market for streetwalkers or recreational drugs, the Perrache area (especially on its south side) might be right up your alley. But I suspect that's not the case.
Most of the sights a tourist would find interesting are further north along the presqu'île. There's a Metro line (Line A) that runs north south along the presqu'île and it makes it very convenient to get around. The university lies along Tram line T1. It's also near the interesting resistance museum (Centre d'histoire de la résistance et de la déportation).
As for Roman ruins, there are two ampitheatres just below the ornate Basilique Notre Dame de Fourvière. There's a third, smaller one downhill in the 1st arrondisement called the Amphithéâtre des Trois Gaules. It's a bit of a walk from the Hôtel de Ville - Louis Pradel Metro stop.
Back up the Fourvière hill is an interesting Gallo-Roman museum that goes over the Roman history of Lyon, or Lugdunum (its Roman name). It will be open on Easter, as it's typically only closed on Labor Day (May 1), Christmas Day, and New Years Day. A pleasant thing to do, early in the morning, is to take the funicular up to Fourvière (Metro/bus tickets accepted), tour the basilica (both levels -- look for the staircase), enjoy the view over the wall, see the Roman ruins, go through the museum (a surprising number of Roman artifacts were discovered in the Rhône and Saône rivers during bridge construction over the centuries), and then take one of the leafy trails in Des Hauters Park for a leisurely downhill walk back to Vieux Lyon.
Two suggestions for a good lunch are the Vieux Lyon outpost of Daniel et Denise, a local group of restaurants, or (better yet, in my opinion) get a table at Aux Trois Maries.
While in Vieux Lyon, don't miss the Cathédrale Saint-Jean -- while not as ornate as the much newer Basilica on Fourviere, it has a cool (no longer functioning) astronomical clock from the 1300s. By "clock" I mean something about the size of four armoirs standing next to one another. There also is a small park with 5th-century ruins behind it (Jardin Archéologique Saint Jean) -- it's about 600 years older than Cathédrale Saint-Jean.
I have only stayed in a hotel in Lyon a few times, because I had my apartment there for several years, but Hôtel des Célestins between Place Bellecour and Place des Jacobins, is pretty good. It's right next to the Célestins theatre. If you do choose to stay there and you're there on a Sunday, walk over to the Saône and spend some time at the huge Marché Saint-Antoine Célestins. While early in the year, there still may be quite a bit to see. Also on Sunday (but not Monday) is the Marché Croix Rousse -- to get to it you take the Metro line C up the Croix Rousse hill (the hill that works -- formerly thick with silk workers -- as compared to Fourvière, the hill that prays; owing to the Basilica). Line C is different than Lyon's other Metro lines because it is a cogwheel line, due to its steep gradient up the hill. Metro stop Croix-Paquet on Line C is reportedly the most steeply-sloped metro stop in Europe.
If you're interested in traboules and you (or your daughter) will have a smartphone, I recommend downloading the Traboules app prepared for the Lyon Tourism Office. It makes them much easier to find. Some people are fascinated by them, some yawn. It's up to your interests. I also would download the transit app for Lyon (published by TCL Sytral, which runs Lyon's transit system). It will save you a lot of time in figuring out how to get from point A to point B. It includes maps of lines and stops.
Have fun!