Just purchased a Canon Eos Rebel G (have no idea if I put the model name in the correct order!). I am clueles?

Your camera can use any Canon EF mount lens. It cannot use EF-S lenses (those are strictly for digital).

As far as a lens for scenic shots, that's really up to you. Most would get a wide angle lens for that, but a telephoto could be used just the same.

I suggest starting with a zoom, like a 28-80mm. Figure out where you're most often shooting it (i.e. at the 28 side or the 80 side). That should help you decide what you prefer.

Since you bought a film camera, you'll be looking only be looking at EF lenses. EF-S lenses are only for APS-C or 1.6x crop-factor cameras like the Digital Rebels (XXXD) and XXD series cameras. You can't mount EF-S lenses on film or full-frame cameras. Any panoramas will be the result of scanning and stitching several overlapping shots together with photoediting software. At any rate, aside from your own skill, your choice in lens will make all the difference in the quality of your images. The point lurking here is you need to set a budget.

The cheapest general purpose lens you'll likely find is the EF 50mm f/ 1.8 II, also known as the "Nifty-Fifty." This lens costs around $100 and is probably one of the most useful focal lengths there is for a film camera...It's a "normal" magnification lens that works for practically everything. Prices jump up pretty quickly from here.

The EF 28-105mm f/3.5-4.5 II USM is probably the cheapest general purpose zoom available from Canon. It'll cost about $200. It's not a great lens but it will work for all the scenes you mentioned. If you want a little more reach, you can add the EF 100-300mm f/4.5-5.6 USM to your kit for another $300. As an alternative, rather than dropping $500 on two lenses, you can almost cover that the range of both lenses with the EF 28-200mm f/3.45-5.6 USM for about $350. Of course, that put's you within $50 of the newer EF 28-135mm f.3,5-5.6 IS USM which costs about $400 and adds image stabilization.

Without going truly crazy on costs, if you want the best and lenses that you'll likely never replace, go with L-series lenses. These are Canon's professional grade lenses. The EF 17-40mm f/4L USM is an ultra-sharp, ultra-wide lens. This is about as close as you can get to getting a panoramic shots out of your Rebel G without dropping over a grand on a single lens. This lens costs about $750.

I'd also suggest the EF 24-105mm f/4L IS USM. It costs about $1000 but, it is probably my favorite general purpose lens. It's not as wide as the 17-40mm lens but, you don't always need such a wide lens. The only thing I wish this lens had is a wider f/2.8 aperture. Of course, Canon makes the EF 24-70mm f/2.8L USM for that purpose. The downside is that lens doesn't offer image stabilization and is even more expensive.

We may have already gotten outside your comfort zone on costs and I've been rambling so I'll only make two more suggestions. You may find you need a good telephoto lens. The best lens for the money to me is the EF 70-300mm f/4-5.6 IS USM. I shot this lens for two years and I still think it's one of the best lenses I've ever owned. I bought it for roughly $550. For $100, more you can step up to the EF 70-200mm f/4.0L USM. This is one of the sharpest and best lenses Canon makes. Next to the EF 17-40mm f/4L, it's one of the best buys in Canon's line up.