One-off classes are standard now, so nobody will push you into a term-long course unless you want one. On the second question, beginners do finish real pieces, usually one or two per session depending on how ambitious the design is. Worth knowing that firing takes time, so you collect the piece later rather than carrying it home that evening. We went to Pottery Studio Toronto on Richmond West for exactly this kind of thing and it worked well as an anniversary plan. Check what is included in the price before booking, some places add a firing fee afterwards and that is an annoying surprise. Book a weekday evening if you can, weekends fill up with groups and the room gets loud.