The main difference being TrueCrypt creates containers and 7-Zip encrypts the file itself, so file sizes can be guessed. Now let's just talk about the strength and breakability of the encryption.
If implemented correctly, AES is AES; the output between two different implementations is identical, and therefore no distinction is possible in after-the-fact comparison -- if done correctly, the one is exactly the same as the other.
But there are a few points where differences can crop in:
From examining the p7zip source code, it appears that AES encoding for the 7-zip format operates in CBC mode. This is certainly not necessarily insecure; it's the mode most popularly used in protocols such as TLS, but it is potentially vulnerable to padding oracle attacks. See this discussion on operation modes for more information.
All in all, the differences are minor, and for most use cases you shouldn't expect any difference at all from a security perspective. If it's a matter of life-and-death, I'd probably pick TrueCrypt. But for matters of mere secrecy, I'd recommend going with whichever solution fits your problem the best.
The security of a cipher depends on its specific implementation in a software utility. As far as I know, there are no known AES implementation issues in 7-Zip or TrueCrypt.
AES is a fast cipher, and hardware acceleration features such as AES-NI make it much faster. So protecting against brute-force requires strengthening the key through key extension mechanisms.
7-Zip uses key extension to increase the time to brute-force. The user password is hashed 130,000 to 524,288 times (depending on the version) using SHA256.
TrueCrypt also uses PBKDF2 for key extension with 1000 iterations which is 2 orders of magnitude lower than 7-Zip. An issue is that TrueCrypt uses the minimum number of iterations recommended 10 years ago.
It also uses 512 bit salting that decreases vulnerabilities to dictionary and rainbow tables attacks.
So from a brute-force perspective, 7-Zip is a bit better than TrueCrypt, but both are considered fairly resilient to brute-force attacks.
There is a story where the FBI tried to crack a TrueCrypt volume for 12 months and failed.
Barring implementation bugs, 7-Zip's encryption is more robust than TrueCrypt's, because TrueCrypt has a much harder job.
Sector-level full-disk encryption is hard:
In comparison, 7-Zip's job is easy. It writes the file once and is done. If it needs to change something, it can re-encrypt the entire file using a different IV (even if the key is the same), and the new encrypted file looks completely different from the old one.
What this means is that 7-Zip can afford to use the well-understood CTR or CBC block cipher modes. Meanwhile, TrueCrypt has to use XTS, which makes a number of compromises in order to satisfy the additional constraints of full-disk encryption.
For more detail, see this article on the limitations of full-disk encryption.
I would differ with to tylerl's answer in that, at the time of the writing of the question and the answer, TrueCrypt's source code had NOT been audited by cryptographers. In fact, as of now, only a partial audit by respected cryptographers has been completed.
So, currently the the core cryptographic routines of both projects have the same level of review by expert cryptographers: none. Hopefully that will change soon for both codebases, but there's no effort underway to audit 7zip's code, AFAICT.
Update March 2016:
It seems that TrueCrypt is no longer developed, which will lead to future security bugs not been fixed.
This appears when opening the TrueCrypt's website: "WARNING: Using TrueCrypt is not secure as it may contain unfixed security issues. This page exists only to help migrate existing data encrypted by TrueCrypt. The development of TrueCrypt was ended in 5/2014 after Microsoft terminated support of Windows XP."