I am not sure if you could get a reservation this late but I'd suggest 1789 in Georgetown to make a good impression. Food, service & atmosphere are really great, especially in the main dining room. There isn't a view from there but honestly there aren't that many places here with a view at all, let alone great dining experiences. Adour at the St Regis is also really good, and if you get a window table you can people watch. if you are dead set on a view and decent food, i'd suggest charlie Palmer's on capital hill. Use open table.com and put a request for a table by the window with a view of the capit0l bldg. This time of year is the only time you can actually see it (bare trees!) Have a great time and welcome to DC!
Check out the rooftop at the W Hotel by the White House. Give them a call and see what the protocol is to get in there. Best view overlooking the White House and monuments.
For a romantic restaurant and great food, try Marcel's
Vento is brand new in Dupont Circle and is VERY romantic and beautiful. It looks like a $200 dinner restaurant but dinner should cost you about $80-100 for two depending on how much wine you order. I think it would leave a great impression for a date.
If you want to ease into it, try stopping at Scion right next door and have some beers. The beer selection there is excellent.
If your date is more of a mixed drink person, I highly recommended Cafe Citron for Mojitos and other rum based drinks. Their happy hour runs until 7pm.
For a view of the city however, I am at a bit of a loss. Tabaq Bistro top floor has a nice view, but that is in the chaotic U Street Area where you will not easily find parking. If you are metroing then that won't be an issue.
I hope by 'city' you meant DC, otherwise this entire post is not useful to you lol.
1336 U St NW, Washington, DC 20009
Awesome, BBoyneko. I'm going to check out all those places. I'm brand new here so I'm flying blind. This really helps though. I was thinking of a nice place with a good panoramic view of the city and, obviously, great food. I think Vento would be cool though. I've heard a lot about it.