Many resources in one answer, please scroll through
On data.gov there are several (many?) matching datasets
for example, https://catalog.data.gov/dataset/website-analytics
Web traffic statistics for the several City-Parish websites, brla.gov, city.brla.gov, Red Stick Ready, GIS, Open Data etc. Information provided by Google Analytics.
It's from 1995, but NASA provides 2 months of web traffic logs
The logs are an ASCII file with one line per request, with the following columns:
host making the request. A hostname when possible, otherwise the Internet address if the name could not be looked up.
timestamp in the format "DAY MON DD HH:MM:SS YYYY", where DAY is the day of the week, MON is the name of the month, DD is the day of the month, HH:MM:SS is the time of day using a 24-hour clock, and YYYY is the year. The timezone is -0400.
request given in quotes.
HTTP reply code.
bytes in the reply.
In that link there links to 3 other related datasets.
Kaggle hosts a dataset with a few rows but more recent (2017)
EDGAR Log File Datasets (Security & Exchange Commission)
The Division of Economic and Risk Analysis (DERA) has assembled information on internet search traffic for EDGAR filings through SEC.gov generally covering the period February 14, 2003 through June 30, 2017. The data is intended to provide insight into the usage of publicly accessible EDGAR company filings in a simple but extensive manner.
DISCLAIMER: The EDGAR Log File Data Set contains information in CSV format extracted from Apache log files that record and store user access statistics for the SEC.gov website. Due to certain limitations, including the existence of lost or damaged files, the information assembled by DERA may not capture all SEC.gov website traffic. In addition, it is possible inaccuracies or other errors were introduced into the data during the process of extracting the data and compiling the data. Given the large size of the data files which can include more than a million entries, for best results users should avoid using software that limits the amount of data that can be read.