Since the newspaper is brittle, I suggest following 05's advice and seeking conservation treatment before doing anything else with it.
For the framing, I would probably make a Direct Contact Overlay (DCO) mount using clear polyester film and Museum Optium Acrylic, and frame it to show the entire front page, unfolded. This design would provide sturdy support for the whole newspaper and overall support for the front page. Point-supports, such as hinges or clips for example, would probably destroy the fragile newspaper.
Similar to Cliff's instructions, I would start by cutting a rag or alpha cellulose board slightly smaller than the unfolded newspaper, and place it behind the front page. In order to minimize bleed-through-view of the print on the back of the sheet, use a dark-colored mat. Also with the board, place a sheet of clear polyester film under the front page, trimmed slightly less than the newspaper's width and about twice as long as the newspaper.
Prepare a sturdy backer, also slightly smaller than the unfolded newspaper, such as aluminum composite material (ACM) or 8 mm or 10 mm fluted polypropylene. Line it with alpha cellulose board. Center the newspaper on it, including the aforementioned board insert and sheet of clear film under the front page. Attach the ends of the clear film sheet to the back of the prepared backing board using a good double-sided tape, such as 3M #889 or the older-technology 3M #415.
Trim several layers of needle-punched polyester batting about 2" smaller than the newspaper and stack them in the center of a very rigid, frame-sized backing board covered with decorative board or fabric. ACM would be my choice for the frame-sized backing board.
Center the mounted newspaper on the batting/backing board, then center the Museum Optium on the stack. Fit this assembly into the frame and apply considerable pressure when fitting, to compress the batting, which holds the front page of the newspaper in place.
Note that the weight of the newspaper is supported by the clear film wrap, and only the front page is supported by the direct contact of the glazing.
Condensation inside the frame could be a serious problem, so instruct the customer to keep this frame in a temperate environment, avoiding rapid or radical changes of temperature, especially when relative humidity is high.
For reference,
here is a web page with photos of a newspaper framed this way.