The city spans the Acha River, and it's useful to think of it as two cities—the airport/military zone, and the actual city of Yelizovo across the river. The city center (across the river) is around the market and along ulitsa Zavoika (___|. _H_p_r___z_{_p) south of the intersection with ulitsa Lenina (___|. _L_u_~_y_~_p). Yelizovo is often used as a base for tourists exploring the surrounding areas, but the service sector outside of the airport is ''not'' used to non-Russian tourists, and it is not easy to find English speakers.
Yelizovo is not an attraction in itself—aside from nice views of the Koryakovskaya and Avachinsky volcanoes to the northeast, there's nothing to see in the city at all. Just outside the city is where you will find the main attractions: '''Gora Moroznaya''' (''Cold Mountain'') and the Blue Lakes Nature Park (_____y_____t_~___z ___p___{ _C___|___q___u ___x_v___p). The former is Kamchatka's main ski resort, with reasonably well developed infrastructure including lifts (the Russian Olympic team spends time here), an easy taxi ride just 8km outside the city. Very popular with the locals, Gora Moroznaya might be the only place in Kamchatka where you'll have to wait in a line; the advantage, of course, being that skiing here is a lot less expensive than hiring a chopper to take you heli-skiing off in the volcanoes. Runs throughout the winter (November–March).
The '''Blue Lakes''' is a nature park—beautiful as Kamchatka's nature tends to be—centered around a system of lakes, that sparkle blue and extraordinarily reflective, owing to their bottom ice and crystal clear water. Indeed, they reflect the blue sky so strongly that you yourself will turn a bluish hue on approaching the shore. The nature park is located just beyond Gora Moroznaya (and is a destination better enjoyed during the summer months, when the ski slopes are closed). You can tour the park by simply trekking alongside the stream that connects the lakes, and climbing up the side of a mountain to take in the views. It would, however, be wise to bring a guide who knows the area, at least one that will drop you off and pick you up, so you don't get stranded.
The vast majority of travelers will pass through Yelizovo without a thought to commerce beyond the walls of the airport, where you can find food, booze, and, like any airport, souvenirs. For those that are curious to venture into the small city itself, there is, well, not much! Virtually all shopping of any kind to be done is at the '''Yelizovsky Market''' (_E_|_y_x___r___{_y_z _____~___{), which is just southwest of the center of the city (that is, the non-airport center on the west side of the Avacha river) (___|. _H_p_r___z_{__, 2). It's not a terribly large market, and does not have souvenirs (they'll be shocked to see tourists there at all), but chances are you'll find any essentials there. If you don't, just a block down ulitsa Lenina is the city's one grocery store (_T_~_y_r_u___}_p_s "_B_y____").
For food, there is but one real restaurant in the city itself. (Actually, that's a lot for Yelizovo—it's no small feat to keep a restaurant alive here.) The only other restaurant option is the pricier hotel restaurant and cocktail bar at the Bel-Kam-Tur. There is also a small cafe (_K_p___u "_B_y_{______" ''Cafe Victor'') at the market.
If you head a little ways down the road to Petropavlovsk-Kamchatsky, there's a little cafe on the road:
Yelizovo has two hotels, both near the river, each quite nice, if modest.