Do they do the same things? Yes and no. Paint Shop Pro Photo is comparable to Photoshop. You can edit photos, do art and scrapbook things and do some graphics work. CorelDRAW Graphics Suite includes 2 major programs: CorelDRAW and PhotoPaint (which Corel really doesn't upgrade much anymore - unfortunately). It also includes a pretty good tracing program (Power Trace) and some utilties. CorelDRAW is a graphics (vector) drawing program. It works completely differently from a photo editing program. PhotoPaint is a full-function photo editing program. You can open a photo you've imported into CorelDRAW directly into PhotoPaint to edit it and then slip it right back into CorelDRAW, transfer it to Power Trace for tracing and then back to CorelDRAW for vector work.
I use both CorelDRAW and PSPP and vector work is easier with CorelDRAW... but the program has a learning curve at the beginning and whole different vocabulary. But you can do some wonderful things with vectors.
And here are tutorials which will give you an idea about what CorelDRAW does.
http://www.corel.com/servlet/Satellite/u…
I'm really impressed with Corel's newest PSPP, X3. It runs a lot faster and smoother than previous versions and works great. It seems some people (at least here on YA) have problems installing it but I just used Control Panel>Programs and Features to remove the old (X2) version, downloaded the 4 updates for it from Corel, turned off my anti-virus and spyware (a good habit to get into when installing software;-), installed PSPP and the updates and then opened it and began using it.