Starting with the cover, these guys look like total dorks, especially the last one. I just hadda say that. Now for what I thought of the songs:
1. My Name Is Jonas - I liked this song. It's got a nice opening riff and its probably the hardest song on the album, which is good because I can't stand stuff that's too soft. 8/10
2. No One Else - This song had some decent lyrics, but for whatever reason, I just couldn't get that into it. It starts off like it's gonna be a hard rocker, but then they slow it down. I as slightly disappointed.6/10
3. The World Has Turned And Left Me Here - This just simply isn't my type of song. I listened to it once and then didn't listen to it again, I didn't like the vocals and I didn't like the guitar lines. 3/10
4. Buddy Holly - This is when the album starts to get pretty good. This one is very catchy and the lyrics are impressive. I listened to this one several times and the only drawback is that sounds just a bit too poppish. 7/10
5. Undone - The Sweater Song - Now, the chorus of this song is great as are the verses, but what bothered me was the opening part where the guy is just talking to his friend at the concert/party. That part was so freaking stupid and pointless. Other than that, good. 7/10
6. Surf Wax America - This one had the best guitar riff on the album and it is really catchy. Surf Rockish I guess is what you'd call it. 8/10
7. Say It Ain't So - Seems to be Weezer's most popular song. I already knew it from Rock Band and I thought it was OK. The lyrics could be better I guess, but overall a good song. 7/10
8. In The Garage - Definately my favorite. I loved the lyrics and I liked the references used. It doesn't get a 10 though, because nothing's perfect. 
9/10
9. Holiday and 10. Only In Dreams - I can't remember these song too much, but if I liked them, I'd have remembered them. So for not being memorable, these song get a 5/10
Ah yes, the band itself. Well, the lyrics aren't bad I guess, not that good, but not bad. The singer while not great seems to be competent enough. The guitar(s) were pretty lackluster I thought other than My Name Is Jonas and Surf Wax America. The rythym section was good and I don't see many flaws there. This is a good album, worthy of buying and listening to. Even though alternative is not my thing. Overall, it gets a 7.5/10
Well have fun.
Comments
Dee-
You're right about judging lyrics, giving examples etc. But Weezer aren't meant to be "just fun." Have you actually read some of the lyrics?
I'm afraid that when reviewing something, I cannot get really into it unless I either really loved it or really hated it. This album was neither.
Dee: Classic hard rock isn't even close to all I listen to. I'm surprised you said that. I listen to some grunge, I like Sublime, RATM, I LOVE the White Stripes, there's a few dozen other bands that I could list. I'm just not a fan of the soft stuff or alternative. All my friends like alternative but I never did, and I have heard plenty of it too.
DeeDeeDee-er
I'm disappointed in this review Tweek. Let me down. If you judge a song by its lyrics, you've gotta explain what you didn't like or give an example. And I've forgotten about tons of great songs so you have to listen to them before giving them a 5.
Weezer also aren't the kind of band that you pick apart, looking at the lyrics (which are supposed to b kind of goofy at times), judging the singer, and discussing the guitars, as everything is supposed to just be fun. if you want a more complicated album with better lyrics, get "Pinkerton".
I'm glad you at least liked it.
And they're supposed to look like dorks. One subgenre of theirs is "Geek Rock."